A standardized test is given to a sixth grade class. Historically the mean score has been 143 with a variance of 26. The superintendent believes that the variance of performance may have recently increased. She randomly sampled 29 students and found a mean of 153 with a standard deviation of 7.9245. Is there evidence that the standard deviation has increased at the α=0.01 level? State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary.

A standardized test is given to a sixth grade class. Historically the mean score has been 143 with a variance of 26. The superintendent believes that the variance of performance may have recently increased. She randomly sampled 29 students and found a mean of 153 with a standard deviation of 7.9245. Is there evidence that the standard deviation has increased at the α=0.01 level? State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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A standardized test is given to a sixth grade class. Historically the mean score has been 143 with a variance of 26. The superintendent believes that the variance of performance may have recently increased. She randomly sampled 29 students and found a mean of 153 with a standard deviation of 7.9245. Is there evidence that the standard deviation has increased at the α=0.01 level?