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 70 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 40 from the population. Complete parts (a) through (c) (a) Describe the shape you expect for Diane's distribution of sample means Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below OA. Dane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean OB. Dane's distribution is expected to be skewed left, but less skewed than the original distribution Jack's distribution is expected to be approximately normal C. Jack's distribution is expected to be skewed left, but less skewed than the original distribution Diane's distribution is expected to be approximately normal OD. Dane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 70 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 40
from the population. Complete parts (a) through (c)
(a) Describe the shape you expect for Diane's distribution of sample means Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below
OA. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean
OB. Dane's distribution is expected to be skewed left, but less skewed than the onginal distribution, Jack's distribution is expected to be approximately normal
C. Jack's distribution is expected to be skewed left, but less skewed than the original distribution Diane's distribution is expected to be approximately normal
OD. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean
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 70 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 40 from the population. Complete parts (a) through (c) (a) Describe the shape you expect for Diane's distribution of sample means Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below OA. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the smaller standard deviation of the sample mean OB. Dane's distribution is expected to be skewed left, but less skewed than the onginal distribution, Jack's distribution is expected to be approximately normal C. Jack's distribution is expected to be skewed left, but less skewed than the original distribution Diane's distribution is expected to be approximately normal OD. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have the greater standard deviation of the sample mean
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