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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
5.2.17 Refer to the histogram in Exercise 5.2.15. Suppose that 100 random samples are taken from this population and the sample mean is calculated for each sample. If we were to make a histogram of the distribution of the sample means from 100 samples, what kind of shape would we expect the histogram to have if n=1 for each random sample? That is, what does the sampling distribution of the mean look like when the sample size is n = 1?
Exercise 5.2.15:
The mean of the distribution shown in the following histogram is 41.5 and the standard deviation is 4.7.
Consider taking random samples of n=4Â size from this distribution and calculating the sample mean, , for each
sample.

(a) What is the mean of the sampling distribution of ?
(b) What is the standard deviation of the sampling distribution of
?
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