5. (11 points} The inside diameter of a randomly selected piston ring is a random variable with mean value of Ham and standard deviation 0. 05cm. (a) EX 1s the sample mean diameter for a random sample of n= 20 rings what 1s the mean of X, and what 1s the standard deviation of the X distribution? Round your answer to two decimal places. (b) Answer the questions posed in part (a) for a sample size of n = 8t] rings. Round your answer to 4 decimal places. (c) For which of the two random samples, the one 'om part (a) or the one 'om part (b), is J? more likely to be within lcm of 15 cm? Explain your reasoning