Question

A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. Suppose we measure the sample mean for n independent samples How is the variance of the sample mean changed when the sample size is increased from n-9 to n 36? What does this imply about the relationship between sample size and our estimate of the mean (sample mean here)?

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TOPIC: Variance of the sample mean for a Normal population.

2ctine, X= The tensile strength- the 4theta Heme, we have. inderen en VM ;치 So, uohen,9 e 6.5 andy whan, n 36 ; wwe have, 3.5 neas e the 스 ample Sizewi in ZAnyラ simee, van(x) decrease, when the ample size moreases wecan estimale the amle mean mone

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