Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution that is skewed left with mean 50 and standard deviation deviation 10. Jack obtains 1000 random samples of size n=4 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=40 from the population. Completed parts (a) through (c) Answers  (a) Jack's distribution is expected to be skewed left, but not as much as the orginal distribution. Diane's distribution is exptected to be approximately normal. (b) Jack's distribution is expected to have a mean of 50. Diane's distributionn is expeccted to have a mean of 50 (c) What do you expect the standard deviation of Jack's distribution to be? What do you expect the standard deviation of Diane's distribution to be?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution that is skewed left with mean 50 and standard deviation deviation 10. Jack obtains 1000 random samples of size n=4 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=40 from the population. Completed parts (a) through (c)

Answers 

(a) Jack's distribution is expected to be skewed left, but not as much as the orginal distribution. Diane's distribution is exptected to be approximately normal.

(b) Jack's distribution is expected to have a mean of 50. Diane's distributionn is expeccted to have a mean of 50

(c) What do you expect the standard deviation of Jack's distribution to be? What do you expect the standard deviation of Diane's distribution to be?

I just need help with (c). Thanks!

 

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