Refer to Exercise 46. Suppose the distribution of diameter is normal. a. Calculate P(11...

Refer to Exercise 46. Suppose the distribution of diameter is normal.

a. Calculate P(11.99 ≤ ≤ 12.01) when n = 16.

b. How likely is it that the sample mean diameter exceeds 12.01 when n = 25?

Reference Exercise 46

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 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 more likely to be within .01 cm of 12 cm? Explain your reasoning.