Refer to Exercise 6.64. In exercise The small number of vehicles in the study has led to

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Refer to Exercise 6.64.
In exercise
Refer to Exercise 6.64. In exerciseThe small number of vehicles

The small number of vehicles in the study has led to criticism of the results. A new study is to be conducted with a larger sample size. Assume that both populations of damages are normally distributed with a common σ = $ 700.
a. Determine the sample size that allows us to be 95% confident that the estimate of the difference in mean repair costs is within $ 500 of the true difference.
b. For the research hypothesis Ha: μSUV > μMID, determine the sample size required to obtain a test having α = .05 and β(μd)

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