The US Tennis Association is considering switching the type of tennis ball used for its tournament events. For a brand of balls to be “acceptable” to the USTA, when dropped from a certain height, the balls must bounce an average of at least 4 feet. The USTA is reasonably happy with the current balls they use but would be willing to switch to a new brand if they were confident that the new brand consistent (had a lower variance) comparison of balls was more d to the current balls they use deviation of the heights of the current brand of balls. The standard bounce when dropped is .48 feet. In a sample of 91 balls from the new brand being tested, the sample standard deviation is .38 feet. At the 5% level of significance, is there enough evidence that the new balls are more consistent (have a lower variance) than the current brand? 2) The US Tennis Association is considering switching the type of tennis ball used for ittournament events. For a brand of balls to be "acceptable" to the USTA, whendropped from a certain height, the balls must bounce an average of at least 4 feet. TheUSTA is reasonable happy with the current balls they use, but would be willing toswitch to a new brand if they were confident that the new brand of balls were moreconsistent (had a lower variance) compared to the current balls they use. The standarddeviation of the heights the current brand of balls bounced when dropped used is .48feet. In a sample of 91 balls from the new brand being tested, the sample standarddeviation is .38 feet. At the 5% level of significance, is there enough evidence that thenew balls are more consistent (have a lower variance) than the current brand?

Answered: The US Tennis Association is…

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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The US Tennis Association is considering switching the type of tennis ball used for its tournament events. For a brand of balls to be “acceptable” to the USTA, when dropped from a certain height, the balls must bounce an average of at least 4 feet. The USTA is reasonably happy with the current balls they use but would be willing to switch to a new brand if they were confident that the new brand consistent (had a lower variance) comparison of balls was more d to the current balls they use deviation of the heights of the current brand of balls. The standard bounce when dropped is .48 feet. In a sample of 91 balls from the new brand being tested, the sample standard deviation is .38 feet. At the 5% level of significance, is there enough evidence that the new balls are more consistent (have a lower variance) than the current brand?

Transcribed Image Text:2) The US Tennis Association is considering switching the type of tennis ball used for it tournament events. For a brand of balls to be "acceptable" to the USTA, when dropped from a certain height, the balls must bounce an average of at least 4 feet. The USTA is reasonable happy with the current balls they use, but would be willing to switch to a new brand if they were confident that the new brand of balls were more consistent (had a lower variance) compared to the current balls they use. The standard deviation of the heights the current brand of balls bounced when dropped used is .48 feet. In a sample of 91 balls from the new brand being tested, the sample standard deviation is .38 feet. At the 5% level of significance, is there enough evidence that the new balls are more consistent (have a lower variance) than the current brand?

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