Does any of you know the details of how to solve this problem using Megastat: CRA CDs Inc. wants the mean lengths of the “cuts” on a CD to be 135 seconds (2 minutes and 35 seconds). This will allow the disc 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 16 cuts from various CDs sold by CRA CDs Inc. a. What can we say about the shape of the distribution of the sample mean? According to the central limit theorem, the shape of the sampling distribution of the sample mean is close to the normal probability distribution.b. What is the standard error of the mean? Standard deviation / square root of sample size of 16= 2c. What percent of the sample means will be greater than 140 seconds?d. What percent of the sample means will be greater than 128 seconds?e. What percent of the sample means will be greater than 128 but less than 140 seconds?