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Two hypothesis tests questions involving pressure and the bounce of tennis balls

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Chapter 12 problem 11

A machine is set to produce tennis balls so the mean bounce is 36 inches when the ball is dropped from a platform of a certain height The supervisor suspects that the mean bounce has changed and is less than 36 inches. As an experiment 42 balls were dropped from the platform and the mean height of the bounce was 35.5 inches with a standard deviation of 0.9 inches. At the .05 significance level, can the supervisor conclude that the mean bounce height is less than 36 inches?

Chapter 12 problem 3
1. The hypotheses are H0: µ = 240 pounds of pressure and H1: µ not equal to 240 pounds of pressure.
1. A one-tailed test is being applied.
2. A two-tailed test is being applied
3. A three-tailed test is being applied.
4. The wrong test is being applied.
5. None of these is correct

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Solution Summary

This posting shows how to perform a hypothesis test on the mean value of the bounce of tennis balls as well as answers a question on the characteristic of a null and alternative hypothesis test.

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  • 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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