CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 144 seconds (2 minutes and 24 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 11 seconds. Suppose we select a sample of 21 cuts from various CDs sold by CRA CDs Inc.
a) What percent of the sample means will be greater than 148 seconds? (Round your answer to 2 decimal places.)
b) What percent of the sample means will be greater than 135 but less than 148 seconds? (Round your answer to 2 decimal places.)