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Hypothesis Testing - Brands

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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.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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