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CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 125 seconds (2 minutes and 5 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 eight seconds. Suppose that we select a sample of 13 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 130 seconds? (Round the final answer to 2 decimal places.)
Sample means %
d. What percentage of the sample means will be greater than 121 seconds? (Round the final answer to 2 decimal places.)
e. What percentage of the sample means will be greater than 121 but less than 130 seconds? (Round the final answer to 2 decimal places.)
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