STAT200 : Introduction to Statistics Final Examination, Fall 2013

STAT 200 practice exam

 

Refer to the following frequency distribution for Questions 1, 2, 3, and 4.

 

The frequency distribution below shows the distribution for checkout time (in minutes) in UMUC MiniMart between 3:00 PM and 4:00 PM on a Friday afternoon.

 

Checkout Time (in minutes)

Frequency

1.0 – 1.9

5

2.0 – 2.9

3

3.0 – 3.9

7

4.0 – 4.9

3

5.0 – 5.9

2

 

 

1.       What percentage of the checkout times was less than 4 minutes? (5 pts)

 

 

__________

 

2.       Calculate the mean of this frequency distribution. (10 pts)

 

__________

 

3.       In what class interval must the median lie? (You don’t have to find the median) (5 pts)

 

 

__________

 

 4.    Assume that the smallest observation in this dataset is 1.2 minutes.  Suppose this observation were

        incorrectly recorded as .2 instead of 1.2 minutes. (5 pts)

 

        Will the mean increase, decrease, or remain the same?

 

                                                                                                                                                                                ___________

 

        Will the median increase, decrease or remain the same?

 

                                                                                                                                                                                ____________

 

 

 

Refer to the following information for Questions 5 and 6

 

A 6-faced die is rolled two times.  Let A be the event that the outcome of the first roll is even.   Let B be the event that the outcome of the second roll is greater than 4.

 

 

5.    What is the probability that the outcomes of the second roll is greater than 4, given that the

       first roll is an even number? (10 pts)

 

 

                                                                                                                                                                                ____________

 

6.    Are A and B independent? (5 pts)

 

                                                                                                                                                                                ____________

 

 

Refer to the following data to answer questions 7 and 8.

 

A random sample of Stat 200 weekly study times in hours is as follows:

 

4,   14,   15,   17,   20

 

7.     Find the standard deviation. (10 pts)

 

 

                                                                                                                                                                             _____________

 

 

8.    Are any of these study times considered unusual in the sense of our textbook? (2.5  pts)

 

                                                                                                                                                                                _____________

 

      Does this differ with your intuition? (2.5 pts)

 

 

                                                                                                                                                                                _____________

Refer to the following situation for Questions 9, 10, and 11.

 

The five-number summary below shows the grade distribution of two STAT 200 quizzes.

 

 

Minimum

Q1

Median

Q3

Maximum

Quiz 1

12

40

60

95

100

Quiz 2

20

35

50

90

100

 

 

For each question, give your answer as one of the following: (a) Quiz 1; (b) Quiz 2; (c) Both quizzes have the same value requested; (d) It is impossible to tell using only the given information. (5 pts each)

 

9.    Which quiz has less interquartile range in grade distribution?

 

                                                                                                                                                                                _____________

 

 

10.   Which quiz has the greater percentage of students with grades 90 and over?

 

                                                                                                                                                                                _____________

 

 

11.   Which quiz has a greater percentage of students with grades less than 60?

 

 

                                                                                                                                                                                ____________

 

 

 

Refer to the following information for Questions 12 and 13.

 

There are 1000 students in the senior class at a certain high school. The high school offers two Advanced Placement math / stat classes to seniors only:  AP Calculus and AP Statistics.  The roster of the Calculus class shows 95 people; the roster of the Statistics class shows 86 people.  There are 43 overachieving seniors on both rosters.

 

12.    What is the probability that a randomly selected senior is in at least one of the two classes?

(10 pts)

 

 

                                                                                                                                                                                ____________

 

 

13.    If the student is in the Calculus class, what is the probability the student is also in the Statistics

          class? (10 pts)

 

                                                                                                                                                                                _____________

 

14.    A random sample of 225 SAT scores has a mean of 1500. Assume that SAT scores have a population

         standard deviation of 300.  Construct a 95% confidence interval estimate of the mean SAT scores.

        (15 pts)

 

                The proper distribution for calculating the Confidence Interval is:

                                                                                               

                                                                                                                Chi Square,         t distribution,     z distribution

 

                The lower and upper limits for the 95% confidence interval are:

 

 

 

                                                                                                                                ___________                   ___________  

 

Refer to the following information for Questions 15, 16, and 17.

 

A box contains 5 chips.  The chips are numbered 1 through 5.  Otherwise, the chips are identical.  From this box, we draw one chip at random, and record its value.  We then put the chip back in the box.  We repeat this process two more times, making three draws in all from this box.

 

15.    How many elements are in the sample space of this experiment? (5 pts)

 

 

                                                                                                                                                                                _____________

 

16.  What is the probability that the three numbers drawn are all different? (10 pts)

 

 

                                                                                                                                                                                _____________

 

17.   What is the probability that the three numbers drawn are all odd numbers? (10 pts)

 

 

                                                                                                                                                                                _____________

 Questions 18 and 19 involve the random variable x with probability distribution given below.

 

X

2

3

4

5

6

P(x)

0.1

0.2

0.4

0.1

0.2

                                   

 

18.    Determine the expected value of x. (10 pts)

 

 

 

 

                                                                                                                                                                                _____________

 

19.   Determine the standard deviation of x. (10 pts)

 

 

 

 

                                                                                                                                                                                _____________

 

 

Consider the following situation for Questions 20 and 21.

 

Mimi just started her tennis class three weeks ago.  On Average, she is able to return 15% of her opponent’s serves.  If her opponent serves 10 times, please answer the following questions.

 

20.   Find the probability that she returns at most 2 of the 10 serves from her opponent. (10 pts)

 

 

                                                                                                                                                                                                                                                                                                                                                                                             _____________            

 

21.    How many seves is she expected to return? (5 pts)

 

 

                                                                                                                                                                                _____________

 


 

22. Given a sample size of 64, with sample mean 730 and sample standard deviation 80, we perform

       the following hypothesis test. (20 pts)

 

       Ho   μ= 750

       H1   μ < 750

 

What is the appropriate distribution for performing this Hypothesis test?

 

Z distribution,             t distribution,                  Chi Square distribution,             Empirical Rule

 

What is the critical value of the test statistic at α= 0.05 level?

 

                                                                                                                                                                                ____________

                Calculate the test statistic.

 

 

                                                                                                                                                                                ____________

 

What is the P-value for this Hypothesis Test?

 

                                                                                                                                                                _____________

 

What is your conclusion (decision) for this hypothesis test at α= 0.05 level?  

 

                                                                                                                Null Hypothesis                               Alternate Hypothesis

 

 

Refer to the following information for Questions 23, 24, and 25.

 

The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet.

 

23.    What is the probability that a randomly selected pecan tree is between 10 and 12 feet tall? (10 pts)

 

 

 

                                                                                                                                                                                _____________

24.    Find the 3rd quartile of the pecan tree distribution. (5 pts)

 

 

                                                                                                                                                                                _____________

 

25.    If a random sample of 100 pecan trees is selected, what is the standard deviation of the sample mean?  (5 pts)

 

                                                                                                                                                                                _____________

26.          Consider the hypothesis test given by

 

Ho   μ   =   530

H1   μ      530

 

In a random sample of 81 subjects, the sample mean is found to be 524.  Also, the population standard deviation is σ= 27. (20 pts)

 

Calculate the Test Statistic.

 

 

 

 

                                                                                                                                                                ____________

 

What is the P-value for this test?

 

 

 

 

                                                                                                                                                                ____________

 

 

 

Is there sufficient evidence to justify the rejection of Ho at α= 0.01 level?

 

 

 

Do not reject the Null Hypothesis

 

Accept the Alternate Hypothesis

 

                                There is insufficient evidence to make a decision

 


 

 

27.    A certain researcher thinks that the proportion of women who say that the earth is getting warmer

          is greater than the proportion of men. (25 pts)

 

          In a random sample of 250 women, 70% said that the earth is getting warmer.

          In a random sample of 220 men, 68.18% said that the earth is getting warmer.

 

          At the .05 significance level, is there sufficient evidence to support the claim that the proportion of

          women saying the earth is getting warmer is higher than the proportion of men saying the earth is

          getting warmer?

 

What is the Null Hypothesis?

 

 

                                                                                                                                                _____________

What is the Alternate Hypothesis?

 

 

                                                                                                                                                _____________

 

                                                                                                                               

What is the numerical value of z critical?

 

                                                                                                                                                _____________

 

What is the numerical value of the test statistic?

 

 

 

 

                                                                                                                                                _____________

 

What is the P-value for this Hypothesis test?

 

                                                                                                                                                _____________

 

What is your decision based upon this Hypothesis test?

 

                                                                                                                                                _____________

 

 

 

Refer to the following data for Questions 28 and 29.

 

X

0

– 1

1

2

3

Y

4

– 2

5

6

8

                           

 

28.    Find an equation of the least squares regression line. (15 pts)

 

 

 

 

 

What is the Y intercept of the equation?

 

                                                                                                                                                _____________

 

What is the slope of the equation?

 

                                                                                                                                                _____________

 

 

 

                                                                                                                                   Y = ______  + ______x

 

Answer the following questions to receive full credit for this problem.

 

 

∑x =  _______,                                 ∑y =   _______,                                ∑x2 =  _______,                                ∑xy =   _______

 

 

29           Using the equation you calculated in question 28 What is the predicted value of y if x=4? (10 pts)

 

 

 

                                                                                                                                                                                ___________


 

30.    The UMUC Daily News reported that the color distribution for plain M&M’s was: 40% brown, 20%          yellow, 20% orange, 10% green, and 10% tan.  Each piece of candy in a random sample of 100 plain          M&M’s was classified according to color, and the results are listed below.  Use a 0.05 significance          level to test the claim that the published color distribution is correct. (25 pts)

 

Color

Brown

Yellow

Orange

Green

Tan

Number

45

13

17

7

18

 

 

What is the Null Hypothesis?

 

                                                                                                                                                __________________

 

What is the Alternate Hypothesis?

 

 

                                                                                                                                                __________________

 

What is the degrees of freedom for this Hypothesis test?

 

                                                                                                                                                __________________

 

What is the numerical Chi Square critical value?

 

                                                                                                                                                __________________

 

What is the numerical value of the Chi Square test statistic?

 

 

                                                                                                                                                __________________

 

 

 

Having completed the Hypothesis test what is the appropriate decision?

 

 

                                                                                                Null Hypothesis                                Alternate Hypothesis                    

 

 

 

31.          Please note:  Each time you re-due the Final Exam the answer to question 31 may change, but the subject matter and format will not change.

 

                Example question:

 

Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. (1 pt)

 

                A woman experienced a tax audit.  The tax department claimed that the woman was audited because she was randomly selected from all taxpayers.

 

                What type of sampling did the tax department use?

 

32.          Problem 32 is the Honor Pledge.  This question must be answered (truthfully) in the positive in order to receive credit for taking the Final Exam.

 

                                                            

 

probability and measures of variations.

Quiz 2

Part 1. Descriptive Statistics. Measure of Variation.

Question 1

The two boxplots show the weights of the male and female students in a class.

Which of the following is NOT correct?

a. About 50% of the male students have weights between 150 and 183 lbs.

b. About 25% of female students have weights more than 128 lbs.

c. The median weight of male students is about 162 lbs.

d. The mean weight of female students is about 112.

e. The male students have more variability than the female students.

Question 2

A set of scores from a vocabulary test given to a large group of international students can be summarized with this five number summary: {20, 35, 45, 50, 60} Determine which of the following statements about the distribution CANNOT be

justified:

a. About 75% of the scores are equal to or above 35.

b. There are more scores from 35 to 45 than scores from 45 to 50.

c. The interquartile range is 15.

d. The distribution is skewed to the left or low end.

e. The range is 40

Question 3

Two sections took the same vocabulary quiz. Use the 5-number summary {20,30,35,45,60} to construct a boxplot for

Section I and use the summary {20,35,45,50,60} to construct a boxplot for Section II. Use the same scales for both plots,

of course. Based on the two boxplots, which of the following statements about the two sections CANNOT be justifies?

a. The median of Section II is greater than the median for Section I.

b. About 75% of the scores in Section II are greater than the or equal to about 50% of the scores in Section I.

c. There are the same number of scores in Section I and Section II.

d. The range of scores for Section I is equal to the range of scores for Section II.

e. The interquartile ranges are equal for both sections.

Question 4

Sam determined how much students spend per week on reading materials. He constructed separate graphs for those

who live on campus and those who live off campus.

Sam concluded that students who live off campus have different spending habits from those who live on cam pus.

a. Agree. Students who live off campus probably work and have more spending money.

b. Disagree. The medians are nearly equal.

c. Agree. There is more variability in costs for off-campus students than for on-campus students.

d. Disagree. The ranges are the same.

Question 5

Suppose that you measure the height of college woman and calculate a mean of 66 inches with standard deviation of

2.5 inches. Then you notice that the end of the measuring tape is badly worn and each woman’s height is one inch too

high. If you revise the measures by subtracting one inch from each value, determine the new mean and standard

deviation.

a. 66 inches and 2.5 inches.

d. 67 inches and 3.5 inches.

b. 66 inches and 1.5 inches.

e. 65 inches and 1.5 inch

c. 65 inches and 2.5 inches.

Question 6

In a study of heights of koala bears, scientists found that the distribution was strongly skewed left. However, in a study of

heights of polar bears, scientists found that the distrib ution was symmetric.

What measure of centre should the scientists use to describe their data?

a. Nothing. Bears are scary.

b. The koalas should be described with the median and interquartile range, and the polar bears with the mean and standard

deviation.

c. The koalas should be described with the mean and standard deviation, and the polar bears with the median and

interquartile range.

Question 7

Given the following data set: 3 5 6 7 7 8 8 8 9 9 9 10 102

Researcher detected the technical error in the last observation and replaced 102 by 10.2. What happens to Interquartile

Range (IQR) and Standard Deviation (SD)?

a. Both IQR and SD will increase.

b. The absolute value of IQR will change but the absolute value of SD will stay the same.

c. SD will decrease and IQR will not change.

d. Both IQR and SD will decrease.

Question 8

Which of the following sets of data has the largest standard deviation?

Set A: 57, 60, 60, 60, 60, 60, 60, 63

Set B: 57, 58, 59, 60, 61, 62, 63, 64

a. There is no way to tell without using a calculator.

b. Set A

c. Set B

Question 9

Two researchers collected the information about student’s monthly spending on rental DVD in two different campuses.

Researcher A: sample size n =125, Mean = $30, Standard Deviation = $5

Researcher B: sample size n =165, Mean = $15, Standard Deviation = $5

Select the best answer.

a. The variation of the data is not comparable because the sample size is different.

b. The variation of the data for researchers A and B is not comparable because the first mean is twice as large.

c. We cannot compare the variation because in calculating the standard deviations one researcher could have divided by (n)

and the other by (n-1)

e. The variation of data is similar for researchers A and B.

Question 10

Suppose a population generally has a symmetrical distribution with one of the measurements on this curve falls more than 3

standard deviations above the mean. What would you call this value?

a. An error. All the values should lie within 3 standard deviations of the mean.

b. A value that has a 99.7% chance of occurring, because of the Empirical Rule.

c. An extreme outlier.

d. None of the given answers.

Question 11

Shrek lives on a swamp. The condition of his swamp is very important to him so he regularly checks the temperature. Over

the course of the year he records the temperatures of his swamp. The median is 70 degrees, the first and third quartiles are

60 and 80 degrees respectively. The min and max temperatures were 26 and 115 degrees respectively. Were some

temperatures outliers?

a. Yes. There is at least one outlier and it is below the median

b. There are outliers both above and below the median

c. There are no outliers

d. Yes there is at least one outlier and it is above the median.

Question 12

A group of Statistics students took a 25-item multiple-choice test. Each question had four answers, only one of which was

correct. The correct answer was given a score of “1” and the wrong answers were given a score of “0”. The mea n and

standard deviation were computed, and the standard deviation was 0.

What we know about this distribution? Select the best answer.

a. The test was so hard that everyone missed all of the questions

b. About half of the scores were above the mean

c. Everyone correctly answered the same number of items

d. A calculation error must have been made in determining the standard deviation

Question 13

The amount of television viewed by today’s youth is of primary concern to Parents Against Watching Television ( PAWT). 300

parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched

television. The distribution of the data showed a bell-curved shape with the mean of 16 hours and the standard deviation of

4 hours.

Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the

distribution.

a. between 8 and 24 hours per week

b. between 4 and 28 hours per week

c. between 12 and 20 hours per week

d. less than 12 and more than 20 hours per week

Question 14

Assuming that resting systolic blood pressure for healthy woman under the age of 35 has a mean of 120 and a standard

deviation of 9. Also assuming that the distribution of these woman’s systolic blood pressures is unimodal and symmetric.

According to the Empirical Rule, about 16% of healthy woman of this age

a. have resting systolic blood pressure below 102.

b. have resting systolic blood pressure above 129.

c. have resting systolic blood pressure between 102 and 111.

d. have resting systolic blood pressure above 138.

Question 15

A town’s average snowfall is 49 inches per year with a standard deviation of 5 inches. The distribution is symmetric and bell

shaped. What amount of snowfall would you expect to be unusual for this town?

a. 53 inches

b. 63 inches

c. 35 inches

d. none of the given answers

paraghrase

On October 16, 2015, groups in Dr. Tawfik’s Transportation Engineering laboratory were prompted to hypothesize what a company or developer might need to do during the planning process of implementing a Solar Personal Rapid Transit (PRT) system in Fresno, California. The main question that the groups needed to ask themselves was, “What variables will you need to estimate the impact on a transportation system by the PRT project?”

Each of the groups had their own unique ways of interpreting this question. The group that I was a part of wanted to try and identify the variables necessary to evaluate the destination routes, economic evaluation, effects on transportation system, repercussions, and target year. We broke these categories up into two parts. We figured that to make any estimates, we would need to know what kind of data would be needed and a plan on how to collect that data.

The destination route data we would need was population density for various zones in the city, current and future land development, and current location of bus stations. We figured that we could collect said data using census records, speaking with city planners, surveying the population and research current popular bus stations. Group number 5 also had a great idea that pertains to routing decisions. They proposed contacting employers and asking them where their employees lived. This would help them plan for future commuting of employees.

Our group hypothesized that to estimate the economic evaluation we would need to estimate cost of construction per mile, profit, maintenance costs, and efficiency. We figured that a material analysis would be necessary to estimate cost per mile. We could use projected usage rates to estimate profit and to estimate maintenance and efficiency we would contact previous pilot programs and ask them about their current economic data. Group 2 stated that if public approval was not extremely high, we would need to have a long line of investors to fund the project initially.

To estimate the effects on the transportation system, we theorized that we would need quantify the number of people using public transportation currently, what other forms of transportation people are using, and number of people walking or biking for commuting purposes. To collect this information, we could utilize surveys, contact public offices, and again contact previous PRT programs. Group 3 proclaimed that the implementation of this PRT system would reduce traffic on roads therefore reducing maintenance necessary on the roads.

What could possibly be repercussions of this system though? My group argued that we would need to analyze other PRT systems in use so that the repercussions of the system would not be based on pure insight but have defined fact behind it. We thought that surveying the population of cities of whom have PRT systems and see what they thought about the pros and cons. Group 4 believed that there would be a decrease in emissions due to the lower amount of cars in use. This would be a positive repercussion however there would be negative as well. With this system being solar, there would have to be legislation implemented to ensure sunlight exposure to the power cells. This could have a negative repercussion on new infrastructure because there would be a limit to how tall a building could be.

My group believed that this project would be a “medium” time span project meaning that it would take 10 to 15 years from the first days of planning to the final days of construction.

For phd doctorate only

 

Evaluating Sources

The intention of this assignment is to help you understand what sources are typically considered appropriate to use for academic research papers. This assignment will also help you develop the skills needed to evaluate sources for use in academic research. You will likely come across many different types of sources during the course of your research for your Final Research Paper, including various websites, e-books, scholarly articles, news stories, magazine articles, etc. Not all sources you come across are suitable to use in college-level research papers. How do you know what sources are acceptable?

First, watch the ANT101 Evaluating Sources tutorial. This tutorial covers concepts such as

  • How to evaluate sources to determine appropriateness for inclusion in an academic research paper using the CRAAP (credibility, reliability, authority, accuracy, purpose) method.
  • The different types of sources there are, the scope of information they usually cover, and their uses.
  • Efficient ways to read scholarly sources.

This tutorial is interactive and you will be required to complete short exercises throughout it. It should take 8 to12 minutes to complete. After completing the “ANT101 Evaluating Sources” tutorial, you will earn a certificate that will be displayed on the last slide. You will need to save a copy of the certificate by taking a screenshot or by saving or printing the certificate as a PDF and uploading it to the classroom.

To submit this certificate, save the screenshot or PDF to your computer in a location you can easily find. Click the “Assignment Submission” button within the assignment instructions in the online classroom. Upload and attach the screenshot or PDF certificate file that you have saved in your computer to your assignment submission.

Late Policy: Written assignments (essays, journals, presentations) are due on the specified days in the course. Written assignments will be subject to a late penalty of up to 10% per day up to three days late. If written assignments are submitted after 72 hours past the due date, instructors can give a penalty up to and including a grade of 0 for the assignment.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

professor2013 only

Background Story: Please focus on social capital. Provide a brief review of what has been said in the published literature about the issue you are addressing. Then, discuss how your study is connected to the earlier studies and how it builds upon them. Cite all references at the end of the report. 

 

page 1

The issue that rotary club has is why the club is losing memberships and statistics has been shown in the published literature that loosing membership by following reasons: “Lack of leadership agreement on purposes and goals. Loss of desire and initiative to make the necessary changes. Losing sight of the overall objective and Failure to properly educate and communicate with all involved” (Henry 1). It indicates the listed problems are the major ones that rotary club needs to be solved in order to gain more memberships and maintain the old members. Based on the information study, the connected solutions to those major problems have been indicated.

First of all, the organization needs to be more effective and efficient in cooperation of various instead of just one-person show in order to converse membership failure. The leaders of rotary can form an agreement to gain members’ trust and show them the determination of the leaders that they are able to satisfy their members’ needs and further advancing the purpose of rotary. Second, establish a powerful partnership can make members to have good faith to the organization. But the problem is the club should not omit the time when they are trying to build a partnership. Also new members would think the partnership size will be connected to the club size that larger the partnership can attract new members and keep the old ones. Furthermore, to build an association within a good rational length of time can make members to believe all works are achievable when they worked together to outline the ideas. Third, “success breeds success” (Henry 2). Organization should get more and more people and members involved into proper celebrations with short-term success that make them to keep focus on the vision of club accomplishment. It also can build a timely milestone as motivation.

Nevertheless, communication is one of the most important ways to bind all the members together. Also communication failure may cost many problems that finally makes the club apart because improper ways to communicate with each other would make people loose their trust from other people.  So communicate appropriately, faithfully and correctly are necessary for organizations and clubs to updates to all people involved. In addition, getingt all the obstacles out of the way. Sometimes, problems can motivate people on their path to success, but most of the time are not because nobody likes problems. So organizations should move all the questions and barriers from members that could stop them from being successful. Otherwise, it could costs more people to leave the organization because they don’t feel like getting things done in such organization. Also, when obstacles occurred, leaders of organization will need to make harder decisions. So it is bad for both side, and the best method for it is to move all the problems out of the way. Lastly, never blame on people to accomplish the assignment too soon. All members would have their own goals in the organization. So when they are trying their best to finish the assignment, the organization should celebrate with them instead of complaining the assignment is not done well enough.

All in all, all the information have been listed above are the connected solustions based on the early study.

 

word cited: 

 

Henry, J. (2009, April 13). A Series of Eight Articles on Reversing a Membership Freefall. Retrieved December 10, 2014, from http://www.directory-online.com/Rotary/accounts/6910/Pages/uPages/Membership/Downloads/reversing_freefall.pdf

page 2

Based on the results, it showed us that social capital has the most predictive power in explaining intention to participate in voluntary organization. 

Social capital is defined as the networks of relationships among people who live and work in a particular society, enabling that society to function effectively. Also can be difined as the institutions, relationships, and norms that shape the quality and quantity of a society’s social interactions. 

The issue we have been addressing is that why rotary club is losing membership.

Nowadays people are living in busy modern lifes meaning that limited time for volunteer and membership activities after their work and family obligations. 

There were used to be many common-interest groups or associations that were formed in pre-internet days, for the main purpose of sharing information that would have been otherwise hard to come by. now that there are a lot of websites and other web sources which offers people a lot of information. people can get those information even if they do not join the associations. 

The Rotary club is for the people who owns the business or people who work as a business man or woman who wants to grow their business. 

The growth of economies has been downsizing due to many reasons and in order to join the rotary club, the members need to pay the fee in order to be a maintained member. because of the downsizing of the economy people are not attracted to join the clubs anymore. 

The reasons are, one, because people do not want to spend the extra money other than essential goods. two, because people can get a lot of informations from a lot of web sources which makes them to think do not need to join the clubs anymore. 

Another reason why people do not join the organizations anymore is that people do not have enough time to do much of anything for themselves, so that means they do not have enough time to join the group activities. Many of them now have families of their own with young children, and their lives are basically consumed by their children’s activities, school, sports practice, dance lessons, tutoring, all the while, trying to balance a career and have a social life. if you think about it, it is very hard to find a leisure time and join the organizations. 

it is not about lack of interest of joining the clubs but more about lack of time. People would love to be part of the communities, societies, or clubs, but they just do not have enough time to join it. 

Putnam, R. (1982, February 1). Retrieved from http://xroads.virginia.edu/~HYPER/detoc/assoc/bowling.html

 

http://xroads.virginia.edu/~HYPER/detoc/assoc/bowling.html

Multi Choice Problems…

Question 1 of 20
0.0/ 5.0 Points
The finite sequence whose general term is an = 0.17n2 – 1.02n + 6.67 where n = 1, 2, 3, …, 9 models the total operating costs, in millions of dollars, for a company from 1991 through 1999.

Find

A. $21.58 million  
B. $27.4 million  
C. $23.28 million  
D. $29.1 million  

Question 2 of 20
5.0/ 5.0 Points
Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of the first 8 terms of the geometric sequence: -8, -16, -32, -64, -128, . . . .

A. -2003  
B. -2040  
C. -2060  
D. -2038  

Question 3 of 20
5.0/ 5.0 Points
Find the probability. What is the probability that a card drawn from a deck of 52 cards is not a 10?

A. 12/13  
B. 9/10  
C. 1/13  
D. 1/10  

Question 4 of 20
0.0/ 5.0 Points
Find the common difference for the arithmetic sequence. 6, 11, 16, 21, . . .

A. -15  
B. -5  
C. 5  
D. 15  

Question 5 of 20
0.0/ 5.0 Points
Find the indicated sum.

A. 28  
B. 16  
C. 70  
D. 54  

Question 6 of 20
0.0/ 5.0 Points
Evaluate the expression.

1 –

A.  
B.  
C.  
D.  

Question 7 of 20
0.0/ 5.0 Points
Find the sum of the infinite geometric series, if it exists. 4 – 1 ++ . . .

A. – 1  
B. 3  
C.  
D. does not exist  

Question 8 of 20
0.0/ 5.0 Points
Find the probability. One digit from the number 3,151,221 is written on each of seven cards. What is the probability of drawing a card that shows 3, 1, or 5?

A. 5/7  
B. 2/7  
C. 4/7  
D. 3/7  

Question 9 of 20
0.0/ 5.0 Points
A game spinner has regions that are numbered 1 through 9. If the spinner is used twice, what is the probability that the first number is a 3 and the second is a 6?

A. 1/18  
B. 1/81  
C. 1/9  
D. 2/3  

Question 10 of 20
5.0/ 5.0 Points
Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of the first four terms of the geometric sequence: 2, 10, 50, . . . .

A. 312  
B. 62  
C. 156  
D. 19  

Question 11 of 20
0.0/ 5.0 Points
Write a formula for the general term (the nth term) of the geometric sequence.

, – , , –, . . .

A. an = n – 1  
B. an =   (n – 1)  
C. an = n – 1
 
D. an = n – 1  

Question 12 of 20
5.0/ 5.0 Points
Does the problem involve permutations or combinations? Do not solve. In a student government election, 7 seniors, 2 juniors, and 3 sophomores are running for election. Students elect four at-large senators. In how many ways can this be done?

A. permutations  
B. combinations  

Question 13 of 20
5.0/ 5.0 Points
Solve the problem. Round to the nearest hundredth of a percent if needed. During clinical trials of a new drug intended to reduce the risk of heart attack, the following data indicate the occurrence of adverse reactions among 1100 adult male trial members. What is the probability that an adult male using the drug will experience nausea?

A. 2.02%  
B. 1.73%  
C. 27.59%  
D. 2.18%  

Question 14 of 20
0.0/ 5.0 Points
The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. an= 4n – 2

A. arithmetic, d = -2  
B. geometric, r = 4  
C. arithmetic, d = 4  
D. neither  

Question 15 of 20
5.0/ 5.0 Points
Evaluate the factorial expression.

A. n + 4!  
B. 4!  
C. (n + 3)!  
D. 1  

Question 16 of 20
5.0/ 5.0 Points
If the given sequence is a geometric sequence, find the common ratio.

, , , ,

A.  
B. 30  
C.  
D. 4  

Question 17 of 20
5.0/ 5.0 Points
Solve the problem. Round to the nearest dollar if needed. Looking ahead to retirement, you sign up for automatic savings in a fixed-income 401K plan that pays 5% per year compounded annually. You plan to invest $3500 at the end of each year for the next 15 years. How much will your account have in it at the end of 15 years?

A. $77,295  
B. $75,525  
C. $76,823  
D. $73,982  

Question 18 of 20
0.0/ 5.0 Points
Find the term indicated in the expansion.

(x – 3y)11; 8th term

A. -721,710x7y4  
B. -721,710x4y7  
C. 240,570x7y4  
D. 240,570x4y8  

Question 19 of 20
0.0/ 5.0 Points
Find the probability. Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?

A. 1/12  
B. 5/18  
C. 3  
D. 1/18  

Question 20 of 20
5.0/ 5.0 Points
Does the problem involve permutations or combinations? Do not solve. A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 15 members and any member can be elected to each position? No person can hold more than one office.

A. permutations  
B. combinations  

Since the population is always larger than the sample, the population mean is always smaller than or equal to the sample mean

Question 1 of 25 1.0 Points

Since the population is always larger than the sample, the population mean:
A. is always smaller than or equal to the sample mean
B. is always larger than or equal to the sample mean
C. can be smaller than, or larger than, or equal to the sample mean
D. is always strictly less than the sample mean

Question 2 of 25 1.0 Points

What is the probability of drawing two queens in a row from a standard deck of cards without replacement?
A. 0.0045
B. 0.0059
C. 0.0015
D. 0.0385

Question 3 of 25 1.0 Points

If one tosses a coin enough times, the proportion of “heads” will approach 0.5. This is an example of:
A. the Law of Large Numbers
B. subjective probabilities
C. the Empirical Rule
D. the Central Limit Theorem

Question 4 of 25 1.0 Points

Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.

What is the probability that fewer than 40 batteries will last at least 8 hours?
A. 0.7986
B. 0.0789
C. 0.9598
D. 0.9211

Question 5 of 25 1.0 Points
Which term is NOT synonymous with the expected value of a discrete probability distribution?
A. μ
B. mean
C. theoretical average
D. variance

Question 6 of 25 1.0 Points

A discrete probability distribution:
A. lists all of the possible values of the random variable and their corresponding probabilities
B. can be estimated from long-run proportions
C. is a tool that can be used to incorporate uncertainty into models
D. is the distribution of multiple random variables

Question 7 of 25 1.0 Points
The normal distribution is:
A. a discrete distribution
B. the single most important distribution in statistics
C. a binomial distribution with only one parameter
D. a density function of a discrete random variable

Question 8 of 25 1.0 Points

The mean of a probability distribution can be:
A. a positive number
B. a negative number
C. zero
D. all of the above

Question 9 of 25 1.0 Points
The standard normal distribution has a mean of ___ and standard deviation of ___, respectively.
A. 0 and 1
B. 1 and 1
C. 1 and 0
D. 0 and 0

Question 10 of 25 1.0 Points
The standard deviation of a probability distribution must be:
A. a negative number
B. a number between 0 and 1
C. less than the value of the mean
D. a nonnegative number

Question 11 of 25 1.0 Points
The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the:
A. central tendency theorem
B. simple random sample theorem
C. central limit theorem
D. point estimate theorem

Question 12 of 25 1.0 Points
If Z is a standard normal random variable, the area between z = 0.0 and z =1.30 is 0.4032, while the area between z = 0.0 and z = 1.50 is 0.4332. What is the area between z = -1.30 and z = 1.50?
A. 0.0668
B. 0.0968
C. 0.0300
D. 0.8364


Question 13 of 25 1.0 Points
A statistics professor has just given a final examination in his statistical inference course. He is particularly interested in learning how his class of 40 students performed on this exam. The scores are shown below.
77 81 74 77 79 73 80 85 86 73
83 84 81 73 75 91 76 77 95 76
90 85 92 84 81 64 75 90 78 78
82 78 86 86 82 70 76 78 72 93

Compute the standard deviation of these test scores. Place your answer, rounded to 2 decimal places in the blank. For example, 5.34 would be a legitimate entry.

Question 14 of 25 1.0 Points
Find the mean of the following probability distribution?
1 0.20
2 0.10
3 0.35
4 0.05
5 0.30

Place your answer, rounded to two decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 1.23 would be a legitimate entry.

Question 15 of 25 1.0 Points
In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.

 

Number of Products Purchased
Brands Purchased Fewer Same More Total
Same 10 14 24 48
Changed 262 82 8 352
Total 272 96 32 400

What is the probability that a consumer selected at random purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank.

Question 16 of 25 1.0 Points

Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:
Number of Vehicles Involved
Did alcohol play a role? 1 2 3
Yes 60 110 30 200
No 40 215 45 300
100 325 75

What proportion of accidents involved alcohol and a single vehicle?
Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.

Question 17 of 25 1.0 Points

A daily lottery is conducted in which two winning numbers are selected out of 100 numbers. How many different combinations of winning numbers are possible? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry.

Question 18 of 25 1.0 Points

The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28? Place your answer, rounded to 4 decimal places, in the blank.

Question 19 of 25 1.0 Points

A set of final exam scores in an organic chemistry course was found to be normally distributed, with a mean of 73 and a standard deviation of 8.

What is the probability of getting a score between 65 and 89 on this exam? Place your answer, rounded to 4 decimal places in the blank. For example, 0.3456 would be a legitimate entry.

Question 20 of 25 1.0 Points

A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9.

What is the probability that a randomly selected customer will spend $20 or more at this store? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.

Question 21 of 25 1.0 Points

The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with mean 6.7 minutes and standard deviation 2.2 minutes. For a door selected at random, what is the probability the assembly line time will be between 5 and 10 minutes? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate answer.

Question 22 of 25 1.0 Points

A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9.

What is the probability that a randomly selected customer will spend less than $15 at this store? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry.

Question 23 of 25 1.0 Points

Scores on a mathematics examination appear to follow a normal distribution with mean of 65 and standard deviation of 15. The instructor wishes to give a grade of “C” to students scoring between the 60th and 70th percentiles on the exam.

What score represents the 60th percentile score on the mathematics exam? Place your answer in the blank, rounded to a whole number. For example, 62 would be a legitimate entry.

Question 24 of 25 1.0 Points

Using the standard normal curve, the Z- score representing the 10th percentile is 1.28. True
False

Question 25 of 25 1.0 Points

The left half under the normal curve is slightly smaller than the right half. True
False

Additional Requirements

Level of Detail: Only answer needed

Healthcare Finance

5.5 You are considering starting a walk-in clinic. Your financial projections for the first year of operations are as follows:

 

Revenues:                                $400,000

Wages & Benefits:                     $220,000

Rent:                                        $5,000

Depreciation:                             $30,000

Utilities:                                     $2,500

Medical Supplies:                      $50,000

Administrative Supplies:             $10,000

 

Assume that all costs are fixed, except supply costs, which are variable. Furthermore, assume that the clinic must pay taxes at a 20 percent rate.

    1. Construct the clinic’s projected P&L statement.

    1. What number of visits is required to break even?

    1. What number of visits is required to provide you with an after-tax profit of $100,000?

 

 

 

respond to student #2 W/C 150

A lack of awareness of cultural differences or the assumption by one cultural group that another is inferior often results in painful personal and social encounters.  This thesis is applied from the beginning to the very end of the play “Trifles” by Susan Glaspell.  The men and women clearly view and treat the opposite sex in a sarcastic and inferior manner.   Mr. Henderson, the county attorney, shows examples of this quite often.  “Well, women are used to worrying over trifles.”  (Baym, 2013. Pg. 1930) Trifles are an article or thing of little value or importance.  “Ah, loyal to your sex. I see.” (Baym, 2013. Pg. 1930) Mr. Henderson made this snide remark when Mrs. Hale tried to defend Mrs. Wright’s housekeeping.  The men even have too much pride in asking the women to help look for clues in the investigation of Mr. Wright’s death.  If the men in the play did not view women as being inferior they would know that “we all go through the same things- it’s all just a different kind of the same thing”, they could have figured out that Mrs. Wright killed Mr. Wright and what her motive was. (Baym, 2013. Pg. 1935) The women, Mrs. Peters and Mrs. Hale, found all of the clues in Mr. Wright’s murder.  They found the quilt that started out “nice and even”, then ended up “all over the place.  They found the bird that went with the cage with its neck wrung.  When the county attorney asked about the bird, the women lied and said, “we think the – cat got it.” (Baym, 2013. Pg. 1934) Even with having all the clues to the murder the women still find a way to hide the evidence because of how the men acted towards them. 

week 8 final

If the line passing through the points (2, a) and (5, – 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?

Let .

Are the events F and G mutually exclusive?


If a merchant deposits $1,500 annually at the end of each tax year in an IRA account paying interest at the rate of 10%/year compounded annually, how much will she have in her account at the end of 25 years? Round your answer to two decimal places.

4.

Maximize

P= 10x + 12y

subject to

5.
Find the simple interest on a $400 investment made for 5 years at an interest rate of 7%/year. What is the accumulated amount?

6.
Find the present value of $40,000 due in 4 years at the given rate of interest 8%/year compounded monthly.

7.

Write the following set in builder notation form

8.
Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9

y = x +

 


y = x –

 


y = –x –

 


y = –x +

 

9.

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

one and only one solution


one and only one solution


one and only one solution


infinitely many solutions

10.
What is the probability of arriving at a traffic light when it is red if the red signal is flashed for 30 sec, the yellow signal for 5 sec, and the green signal for 40 sec?

 

11.

Solve the system of linear equations using the Gauss-Jordan elimination method.

12.

In a poll conducted among 180 active investors, it was found that 100 use discount brokers, 122 use full-service brokers, and 54 use both discount and full-service brokers. How many investors use only discount brokers?

13.

Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line.

14.
Find the interest rate needed for an investment of $4,000 to grow to an amount of $5,000 in 4 yr if interest is compounded continuously. Please round the answer to the nearest hundredth of percent.

15.

Metro Department Store’s annual sales (in millions of dollars) during 5 years were

Annual Sales, y

5.8

6.1

7.2

8.3

9

Year, x

1

2

3

4

5

Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.



 

16.

Solve the linear programming problem by the simplex method.

17.
A system composed of two linear equations must have at least one solution if the straight lines represented by these equations are nonparallel.

18.

Solve the linear system of equations

Unique solution:


Unique solution:


Infinitely many solutions:

19.

The following breakdown of a total of 18,686 transportation fatalities that occured in 2007 was obtained from records compiled by the U.S. Department of Transportation (DOT).

Mode of Transportation

Car

Train

Bicycle

Plane

Number of Fatalities

16,525

842

698

538

What is the probability that a victim randomly selected from this list of transportation fatalities for 2007 died in a train or a plane accident? Round answer to two decimal places.

20.

Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.

21.
An experiment consists of tossing a coin, rolling a die, and observing the outcomes. Describe the event “A head is tossed and an odd number is rolled.”

22.

Indicate whether the matrix is in row-reduced form.

23.

Use Venn diagrams to illustrate the statement.

24.
A survey of 900 subscribers to the Los Angeles Times revealed that 700 people subscribe to the daily morning edition and 400 subscribe to both the daily and the Sunday editions.How many subscribe to the Sunday edition?

25.

Find the pivot element to be used in the next iteration of the simplex method.