Collins Ross
06/12/2023 · Middle School
A population has mean 75 and standard deviation 12 . a) Random samples of size 121 are taken. Find the mean and standard deviation of the sample mean. [Ans \( \mu_{\bar{x}}=75 ; \sigma_{\bar{x}}=1.09 \) ] b) How would the answers to part (a) change if the size of the samples were 400 instead of 121 ? [Ans \( \mu_{\bar{x}} \) stays the same but \( \sigma_{\bar{x}} \) decreases to 0.6 ]
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\( \sqrt{2} \).
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