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Hypothesis Testing - Brands

I need assistance testing a hypothesis and identifying the solution/variance, details are included in the attachment.

A driving machine was employed to hit a sample of 41 each of two different brands of golf balls using the same force each time. The research team then measured the distance between the point of impact and where the ball eventually came to rest on the ground. Results are shown in the table below:

Brand A Brand B
Mean Distance (yd.)
Standard Deviation 285
17.3 281
11.6

At the 0.05 level of significance, state and test the appropriate hypotheses needed to determine if the variance of the distance traveled by brand A exceeds that of brand B.

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Solution Summary

This solution provides an example of hypothesis testing using the data from two driving machines. It provides the null and alternative hypothesis for the question, as well as the F statistic and conclusion.

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