Question: From contractual commitments and extensive past laboratory testing, we know that compressive strength measurements are normally distributed with the true mean compressive strength

From contractual commitments and extensive past laboratory testing, we know that compressive strength measurements are normally distributed with the true mean compressive strength 5500 psi and standard deviation

100 psi. A random sample of structural elements is tested for compressive strength at the customer’s receiving location.

(a) What is the standard deviation of the sampling distribution of the sample mean for this problem if n 9?

(b) What is the standard deviation of the sampling distribution of the sample mean for this problem if n 20?

(c) Compare your results of parts

(a) and (b), and comment on why they are the same or different.

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