Suppose Diane and Jack 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 5. Diane 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. Jack does the same simulation, but obtains 1000 random samples of size n= 40 from the population. Complete parts (a) through (c) below. (D) vvnat ao you expect tne mean or Diane s aistribution to De? vvnat ao you expect ine mean or Jack S aistribution to De? Diane's distribution is expected to have a mean of 50. Jack's distribution is expected to have a mean of 50. (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of . Jack's distribution is expected to have a standard deviation of (Round to two decimal places as needed.)

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 Diane and Jack 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 5. Diane
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. Jack does the same simulation, but
obtains 1000 random samples of size n= 40 from the population. Complete parts (a) through (c) below.
(D) vvnat ao you expect ine mean or Diane s aistribution to be? vvnat ao you expect tne mean or Jack s aistribution to De?
Diane's distribution is expected to have
mean of 50 . Jack's distribution is expected to have a mean of 50.
(c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be?
Diane's distribution is expected to have a standard deviation of
Jack's distribution is expected to have a standard deviation of
(Round to two decimal places as needed.)
Transcribed Image Text:Suppose Diane and Jack 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 5. Diane 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. Jack does the same simulation, but obtains 1000 random samples of size n= 40 from the population. Complete parts (a) through (c) below. (D) vvnat ao you expect ine mean or Diane s aistribution to be? vvnat ao you expect tne mean or Jack s aistribution to De? Diane's distribution is expected to have mean of 50 . Jack's distribution is expected to have a mean of 50. (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of Jack's distribution is expected to have a standard deviation of (Round to two decimal places as needed.)
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