Q. CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 165 seconds (2 minutes and 45 seconds). This will allow the disk jockeys to have plenty of time for commercials within each 10-minute segment. Assume the distribution of the length of the cuts follows the normal distribution with a population standard deviation of 12 seconds. Suppose we select a sample of 16 cuts from various CDs sold by CRA CDs Inc.
A) Illustrate what percent of the sample means will be greater than 170 seconds? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)
B) Illustrate what percent of the sample means will be greater than 158 but less than 170 seconds? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)