CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 152 seconds (2 minutes and 32 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 ten seconds. Suppose that we select a sample of 20 cuts from various CDs sold by CRA CDs Inc. Use Appendix B1 for the z-values. a. What can we say about the shape of the distribution of the sample mean? Sample mean Normal 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 wil be greater than 156 seconds? (Round the final ans Sample means to 2 decimal places.) d. What percentage of the sample means wil be greater than 146 seconds? (Round the final answer to 2 decimal places.) Sample means e. What percentage of the sample means will be greater than 146 but less than 156 seconds? (Round the final answer to 2 decimal places.)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 152 seconds (2 minutes and 32 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 ten seconds. Suppose that we select a sample of 20 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
Normal O
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 156 seconds? (Round the final answer to 2 decimal places.)
Sample means
d. What percentage of the sample means will be greater than 146 seconds? (Round the final answer to 2 decimal places.)
Sample means
e. What percentage of the sample means will be greater than 146 but less than 156 seconds? (Round the final answer to 2 decimal
places.)
Sample means
Transcribed Image Text:CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 152 seconds (2 minutes and 32 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 ten seconds. Suppose that we select a sample of 20 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 Normal O 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 156 seconds? (Round the final answer to 2 decimal places.) Sample means d. What percentage of the sample means will be greater than 146 seconds? (Round the final answer to 2 decimal places.) Sample means e. What percentage of the sample means will be greater than 146 but less than 156 seconds? (Round the final answer to 2 decimal places.) Sample means
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