CRA CDs Inc. wants the mean lengths of the “cuts” on a CD to be 140 seconds (2 minutes and 20 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 8 seconds. Suppose we select a sample of 23 cuts from various CDs sold by CRA CDs Inc.

**(a) What can we say about the shape of the distribution of the sample mean?**** (b) What is the standard error of the mean? (Round your answer to 2 decimal places.) (c) What percent of the sample means will be greater than 145 seconds? (Round your answer to 2 decimal places.) (e) What percent of the sample means will be greater than 133 but less than 145 seconds? (Round your answer to 2 decimal places.)**