The inside diameter of a randomly selected piston ring is a random variable with mean value 16 cm and standard deviation 0.04 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? (enter your standard deviation to five decimal places.) center cm standard deviation cm
(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 cm standard deviation cm