The diameter of a brand of Ping-Pong balls is approximately normally distributed, with a mean of 1.32 inches and a standard deviation of 0.04 inch. A random sample of 4 Ping-Pong balls is selected.
A) What is the probability that the sample mean is less than 1.27?
B) What is the probability that the sample is between 1.27 and 1.32 inches?
C) The probability is 54% that the sample mean will be between what two values, symmetrically distributed around the population mean? The Lower bound is __ inches. The upper bound is __ inches.
D) What is the sampling distribution of the mean?