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The inside diameter of a randomly selected piston ring is a random variable with mean value 13 cm and standard deviation 0.08 cm (a) tf Х is the sample mean diameter for a random sample of n-16 rings, where is the sampling istribution of Х centered and what is the str dad dnit ond the x distribution? (Enter your standard deviation to five decimal places) center standard deviation (b) Answer the questions posed in part (o) for a sample size of n 64 rings. (Enter your standard deviation to five decimal places.) center cm standard deviation cm (c) For which of the two random samples, the one of part (a) or the one of part (b), is R more likely to be within 0.01 om of 13 cm? Explain your reasoning O X is more skely to be within 0.01 cm of 13 cm in sample (b) because of the increased variablity with a larger sample size. 0 x is more likely to bo within 0.01 cm of 13crn in sample (b) because of the decreased variability with a larger sample size. O is more l O X is more ikely to be within o.01 cm of 13 cm in sample ikely to be within 0.01 cm of 13 cm in sample (a) because of the increased variability with a smaller sample size. (a) because of the decreased variability with a smaller sample size.

Answer 1