From the time of early studies by Sir Francis Galton in the late nineteenth century linking it with mental ability, the cranial capacity of the human skull has played an important role in arguments about IQ, racial differences, and evolution, sometimes with serious consequences.  (See, for example, S.J. Gould, “The Mismeasure of Man,” 1996.)    

  Suppose that the mean cranial     capacity measurement for modern, adult males is  

1041 cc (cubic centimeters).    

  Complete    the following statements about the distribution of cranial capacity measurements for modern, adult males. 

          (a) According to Chebyshev’s theorem, at least ?56%75%84%89% of the measurements lie within 2 standard deviations of the mean, 1041cc.

(b) Suppose that the distribution is bell-shaped.  If approximately 99.7% of the measurements lie between 309 cc and 1773 cc, then the approximate value of the standard deviation for the distribution, according to the empirical rule, is .

Question 1 (3 points)
 
The standard normal distribution has a mean of a standard deviation respectively equal to
Question 1 options:
 1 and 1
 0 and 0
 1 and 0
 0 and 1
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Question 2 (3 points)
 
Given that Z is a standard normal variable, the value z for which P(Z  z) = 0.2580 is
Question 2 options:
 
0.242
 -0.65
 0.70
 0.758
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Question 3 (3 points)
 
The result of tossing a coin once will be either head or tail. Let A and B be the events of observing head and tail, respectively. The events A and B are:
Question 3 options:
 
conditional
 mutually exclusive
 unilateral
 independent
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Question 4 (3 points)
 
Which of the following statements are true?
Question 4 options:
 
Probabilities must be nonnegative.
 Probabilities can either be positive or negative.
 Probabilities can be any positive value.
 Probabilities must be negative.
________________________________________
Question 5 (3 points)
 
If P(A) = P(A|B), then events A and B are said to be
Question 5 options:
 
mutually exclusive
 complementary
 independent
 exhaustive
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Question 6 (3 points)
 
 The joint probabilities shown in a table with two rows, A1and A2 and two columns, B1 and B2, are as follows: P(A1 and B1) = .10, P(A1 and B2) = .30, P(A2 and B1) = .05, and P(A2 and B2) = .55. Then P(A1|B1), calculated up to two decimals, is
Question 6 options:
 
.65
 .67
 .33
 .35
________________________________________
Question 7 (3 points)
 
There are two types of random variables, they are
Question 7 options:
 
discrete and continuous
 exhaustive and mutually exclusive
 complementary and cumulative
 real and unreal
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Question 8 (3 points)
 
If A and B are any two events with P(A) = .8 and P(B| ) = .7, then P( and B) is
Question 8 options:
 
.56
 .14
 .24
 None of the above
________________________________________
Question 9 (3 points)
 
Which of the following best describes the concept of marginal probability?
Question 9 options:
 
It is a measure of the likelihood that a particular event will occur, regardless of whether another event occurs.
 It is a measure of the likelihood that a particular event will occur, given that another event has already occurred.
 It is a measure of the likelihood of the simultaneous occurrence of two or more events.
 None of the above.
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Question 10 (3 points)
 
We assume that the outcomes of successive trials in a binomial experiment are:
Question 10 options:
 
identical from trial to trial
 probabilistically independent
 probabilistically dependent
 random number between 0 and 1
________________________________________
Question 11 (3 points)
 
The mean of a binomial distribution with parameters n and p is given by:
Question 11 options:
 
np
 n – p
 n + p
 n/p
________________________________________
Question 12 (3 points)
 
The mean  of a probability distribution is a:
Question 12 options:
 
measure of skewness of the distribution
 measure of variability of the distribution
 measure of relative likelihood
 measure of central location
________________________________________
Question 13 (3 points)
 
If the value of the standard normal random variable Z is positive, then the original score is where in relationship to the mean?
Question 13 options:
 
equal to the mean
 to the left of the mean
 to the right of the mean
 None of the above
________________________________________
Question 14 (3 points)
 
The standard deviation  of a probability distribution must be:
Question 14 options:
 
a nonnegative number
 a negative number
 a number between 0 and 1
 All of the above
 None of the above
 
________________________________________
Question 15 (5 points)
 
Consider a random variable X with the following probability distribution:
P(X=0) = 0.25, P(X=1) = 0.35, P(X=2) = 0.15, P(X=3) = 0.10, and P(X=4) = 0.15.
Find the mean and standard deviation of X.
Question 15 options:
Mean = 1.5500
Standard deviation = 1.3592
________________________________________
Question 16 (3 points)
 
Consider a random variable X with the following probability distribution:
P(X=0) = 0.08, P(X=1) = 0.22, P(X=2) = 0.25, P(X=3) = 0.25, P(X=4) = 0.15, P(X=5) = 0.05
Find P(2<X<4)

Question 16 options:
  ________________________________________
Question 17 (3 points)
 
Suppose that 20% of the students of Big Rapids High School play sports. Moreover, assume that 55% of all students are female, and 15% of all female students play sports.
 
If we choose a student at random from this school, what is the probability that this student is a female who does not play sports?

Question 17 options:
  _______________________________________
Question 18 (4 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. For what range of scores should a “C” grade be given?
Question 18 options:

  ________________________________________
Question 19 (4 points)
 
The service manager for a new appliances store reviewed sales records of the past 20 sales of new microwaves to determine the number of warranty repairs he will be called on to perform in the next 90 days. Corporate reports indicate that the probability any one of their new microwaves needs a warranty repair in the first 90 days is 0.05. The manager assumes that calls for warranty repair are independent of one another and is interested in predicting the number of warranty repairs he will be called on to perform in the next 90 days for this batch of 20 new microwaves sold.

What is the probability that only one of the 20 new microwaves sold will require a warranty repair in the first 90 days?
Question 19 options:
________________________________________
Question 20 (3 points)
 
A popular retail store knows that the distribution of purchase amounts by its customers is approximately normal 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?
Question 20 options:

Question 21 (3 points)
 
A popular retail store knows that the distribution of purchase amounts by its customers is approximately normal with a mean of $30 and a standard deviation of $9.

What is the probability that a randomly selected customer will spend exactly $28 at this store?
Question 21 options:
________________________________________
Question 22 (3 points)
 
If X is a normal random variable with a standard deviation of 10, then 3X has a standard deviation equal to
Question 22 options:
 
10
 30
 90
 13
________________________________________
Question 23 (2 points)
 
Suppose A and B are mutually exclusive events where P(A) = 0.2 and P(B) = 0.5, then P(A or B) = 0.70.
Question 23 options:
 
True
 False
Question 24 (2 points)
 
If A and B are two independent events with P(A) = 0.20 and P(B) = 0.60, then P(A and B) = 0.80
Question 24 options:
 
True
 False
________________________________________
Question 25 (2 points)
 
The number of homeless people in Boston is an example of a discrete random variable.
Question 25 options:
 
True
 False
Question 26 (2 points)
 
The multiplication rule for two events A and B is: P(A and B) = P(A|B)P(A).
Question 26 options:
 
True
 False
Question 27 (2 points)
 
If events A and B have nonzero probabilities, then they can be both independent and mutually exclusive.
Question 27 options:
 
True
 False
Question 28 (2 points)
 
Probability is a number between 0 and 1, inclusive, which measures the likelihood that some event will occur.
Question 28 options:
 
True
 False
________________________________________
Question 29 (2 points)
 
The left half under the normal curve is slightly smaller than the right half.
Question 29 options:
 
True
 False
________________________________________
Question 30 (2 points)
 
If X is a binomial random variable with n = 20, and p = 0.30, then P(X = 10) = 0.50.
Question 30 options:
 
True
 False
Question 31 (2 points)
 
The binomial random variable represents the number of successes that occur in a specific period of time.
Question 31 options:
 
True
 False
________________________________________
Question 32 (2 points)
 
Using the standard normal curve, the Z- score representing the 99th percentile is 2.326.
Question 32 options:
 
True
 False
________________________________________
Question 33 (2 points)
 
Using the standard normal curve, the Z- score representing the 75th percentile is 0.674.
Question 33 options:
 
True
 False
Question 34 (2 points)
 
A random variable X is normally distributed with a mean of 175 and a standard deviation of 50. Given that X = 150, its corresponding Z- score is –0.50.
Question 34 options:
 
True
 False
________________________________________
Question 35 (3 points)
 
In a particular community, there are medical doctors in 40% of the households. If a household is chosen at random from this community, what is the probability that there is not a medical doctor in this household?
 
Question 35 options:
________________________________________
Question 36 (3 points)
 
Researchers studying the effects of a new diet found that the weight loss over a one-month period by those on the diet was normally distributed with a mean of 9 pounds and a standard deviation of 3 pounds.
What proportion of the dieters lost more than 12 pounds?

Consider the models, theories, and concepts you have examined in your program of study as they relate to your project. Which of these can be applied to the development of methodology to help you achieve the project objectives? Which ones can be used to help you establish criteria and methods of evaluation for your project?

In this Discussion, you examine and propose the methodology for your Practicum Project, as well as evaluation methods. The insights you gain through this Discussion should be integrated into your Practicum Project Plan, which is due in Week 5.

To prepare:

Reflect on the Practicum Project goal and objectives you developed in Week 3.

Refer to the Practicum Project Plan (PPP) Overview document as needed for information related to the assignment.

Consider the models, theories, and concepts you have examined in your program of study as they relate to your project. How can this information be applied to the development of the methodology and evaluation for your project?

Review the information on methodology in the Learning Resources, and conduct additional research to facilitate your analysis for your project. Evaluate the who, what, how, where, and when associated with each objective: Who will make what change, by how much, where, and by when? Consider the methods you could use to meet each objective. Devise your methodology in as much detail as possible to identify how you could meet each objective. For example, identify which professional organizations or regulatory bodies you would consult (by viewing their websites or contacting them directly) to gather evidence.

Review the information on formative and summative evaluation in this week’s Learning Resources, and conduct additional research to facilitate your analysis for your project. How could you evaluate achievement of your Practicum Project objectives using formative and/or summative evaluation? Begin to develop an evaluation plan for your Practicum Project.

Post on or before Day 3 a brief summary of your Practicum Project focus, including the goal and objectives of your Practicum Project (to serve as a reminder for your colleagues). Explain your selected methodology, and justify your selection. Include a detailed explanation of how you could meet each objective using this methodology. Also explain your evaluation plan, noting at which points during your Practicum Project formative and/or summative evaluation will occur.

My issue is getting the nurses to accept the Radiology techs as per of the hybrid room team. as such they are allowed to spike IV bags. trying to merge two totally different healthcare programs Nursing and radiology

Random and independent samples of  recent prime time airings from each of two major networks have been considered. The first network aired a mean of  commercials during prime time, with a standard deviation of  commercials. The second network aired a mean of  commercials, with a standard deviation of  commercials. As the sample sizes are quite large, the population standard deviations can be estimated using the sample standard deviations. Construct a  confidence interval for , the difference between the mean number of commercials  aired during prime time by the first network and the mean number of commercials  aired during prime time by the second network. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)

What is the lower limit of the 99% confidence interval?

What is the upper limit of the 99% confidence interval?

Follow the following steps and then answer the questions below:

Step 1: Access the Nursing Home Compare website at:

            https://www.medicare.gov/nursinghomecompare/search.html

Step 2: Enter a location (city and state or state only) and then click “search.”  choese ( KY)

Step 3: Select two nursing homes (preferably at least one you have visited) and click “add to compare” for each one. 

Step 4: Scroll back to the top of the page and select “compare now.”

Step 5: Multiple tabs will appear with information about the two nursing homes you selected to include: general information, quality ratings, health inspects, staffing, etc.  Take some time to review this information and note what you found interesting or what information causes you to have additional questions.

Questions: Respond thoughtfully to the following questions. Simple statement responses are not acceptable – put some thought and scholarly insight into your responses.  This is a college level course, not high school, so you are expected to have educated responses.

• Were you aware that this information was publicly available?
• What information did you uncover that did not surprise you?
• What information did you find that was surprising or interesting or a learning experience for you?
• How accurate and reliable do you believe this data is?  Does it give an adequate representation of a nursing home setting for someone that is trying to choose a facility in which to receive services?  Even if this information is beneficial for nursing home selection, what other steps should a person take to before choosing place for services?
  
• How could this website/information on Nursing Home Compare be further improved for general public use?