A recording firm wants the distribution of lengths of cuts on its playlists to have an average of 135 sec and a standard deviation of 2.5 sec so that the radio disc jockeys have plenty of time for commercials within each 5-minute period. The population is normal. A sample of 41 showed a sample mean of 130 and a standard deviation of 5 seconds. Test the claim that the true standard deviation is still 2.5 secs. Use a 5% and a 1% level of significance.

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Answered: A recording firm wants the distribution…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A recording firm wants the distribution of lengths of cuts on its playlists to have an average of 135 sec and a standard deviation of 2.5 sec so that the radio disc jockeys have plenty of time for commercials within each 5-minute period. The population is normal. A sample of 41 showed a sample mean of 130 and a standard deviation of 5 seconds. Test the claim that the true standard deviation is still 2.5 secs. Use a 5% and a 1% level of significance.

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