CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 145 seconds (2 minutes and 25 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 a normal distribution with a standard deviation of fifteen seconds. Suppose that we select a sample of 24 cuts from various CDs sold by CRA CDs Inc. Use Appendix B.1 for the z-values.

a. What can we say about the shape of the distribution of the sample mean?

Sample mean? (Click to select) Normal Uniform Binomial

b. What is the standard error of the mean? (Round the final answer to 2 decimal places.)

Standard error of the mean seconds.

c. What percentage of the sample means will be greater than 153 seconds? (Round the final answer to 2 decimal places.)

Sample means %

d. What percentage of the sample means will be greater than 137 seconds? (Round the final answer to 2 decimal places.)

Sample means %

e. What percentage of the sample means will be greater than 137 but less than 153 seconds? (Round the final answer to 2 decimal places.)

Sample means %