Window www.webassign.net/web/student/Assignment-Responses/lastndep 15483294 The

Question

Window www.webassign.net/web/student/Assignment-Responses/lastndep 15483294 The inside diameter of a randomly selected piston ring is a random variable with mean value B cm and standard deviation 0.05 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 ls the standard deviation of the X distribution? (Enter your standard deviation to fve decimal places.) 02000 x cm standard deviation (b) Answer the questions posed in part (a) for a sample size of n 64 rings. (Enter your standard deviation to five decimal places.) center standard deviation T03000 X om (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 0.01 cm of 8 cm? Explain your reasoning. O xis more likely to be within o.01 cm of s cm in sample (b) because of the increased variability with a larger sample suze. o xis more likely to be within o.01 cm of 8 am in sample (a) because of the decreased variability with a smaller sample size. O is more likely to be within o 01 cm of s cm in sample (a because of the increased variability with a smaller sample size ris more likely to be within 0.01 cm of a om in sample (b) because of the decreased variability with a larger sample size.

Explanation / Answer

A. Center is 8 and standard deviation is same as in the problem that is 8

B. Center is 8 and standard deviation is 8/sqrt(64)=1

C. Correct answer is D

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