a) Describe the shape you expect for Jack's distribution of sample means. Describe the shape you expect for Diane's distribution of sample means. Choose the correct answer below. O A. Jack's distribution and Diane's distribution are expected to be approximately normal. However, Jack's will have a greater standard deviation. OB. Jack's distribution is expected to be skewed right, but not as much as the original distribution. Diane's distribution is expected to be approximately normal. C. Jack's distribution is expected to be skewed left, but not as much as the original distribution. Diane's distribution is expected to be approximately normal. O D. Diane's distribution is expected to be skewed left, but more than the original distribution. Jack's distribution is expected to be approximately normal. b) What do you expect the mean of Jack's distribution to be? What do you expect the mean of Diane's distribution to be? Jack's distribution is expected to have a mean of Diane's distribution is expected to have a mean of

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed left with mean 50 and standard deviation 10. Jack obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Diane does the same simulation but obtains 1000 random samples of size n = 35 from the population. Complete parts (a) through (c) below.

(a) Describe the shape you expect for Jack's distribution of sample means. Describe the shape you expect for Diane's distribution of sample means. Choose the correct answer below.

- A. Jack's distribution and Diane's distribution are expected to be approximately normal. However, Jack's will have a greater standard deviation.
- B. Jack's distribution is expected to be skewed right, but not as much as the original distribution. Diane's distribution is expected to be approximately normal.
- C. Jack's distribution is expected to be skewed left, but not as much as the original distribution. Diane's distribution is expected to be approximately normal.
- D. Diane's distribution is expected to be skewed left, but more than the original distribution. Jack's distribution is expected to be approximately normal.

(Correct Answer: C)

(b) What do you expect the mean of Jack's distribution to be? What do you expect the mean of Diane's distribution to be?

Jack's distribution is expected to have a mean of [ _ ]. Diane's distribution is expected to have a mean of [ _ ]. (Both are expected to be 50, the population mean.)
Transcribed Image Text:Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed left with mean 50 and standard deviation 10. Jack obtains 1000 random samples of size n = 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Diane does the same simulation but obtains 1000 random samples of size n = 35 from the population. Complete parts (a) through (c) below. (a) Describe the shape you expect for Jack's distribution of sample means. Describe the shape you expect for Diane's distribution of sample means. Choose the correct answer below. - A. Jack's distribution and Diane's distribution are expected to be approximately normal. However, Jack's will have a greater standard deviation. - B. Jack's distribution is expected to be skewed right, but not as much as the original distribution. Diane's distribution is expected to be approximately normal. - C. Jack's distribution is expected to be skewed left, but not as much as the original distribution. Diane's distribution is expected to be approximately normal. - D. Diane's distribution is expected to be skewed left, but more than the original distribution. Jack's distribution is expected to be approximately normal. (Correct Answer: C) (b) What do you expect the mean of Jack's distribution to be? What do you expect the mean of Diane's distribution to be? Jack's distribution is expected to have a mean of [ _ ]. Diane's distribution is expected to have a mean of [ _ ]. (Both are expected to be 50, the population mean.)
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