Question: The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation .04 cm. a. If

The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation .04 cm.

a. If X is the sample mean diameter for a random sample of n 16 rings, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution?

b. Answer the questions posed in part

(a) for a sample size of n 64 rings.

c. For which of the two random samples, the one of part

(a) or the one of part (b), is X more likely to be within

.01 cm of 12 cm? Explain your reasoning.

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