Question: Refer to Exercise 6 64 In exercise The small number of vehicles

Refer to Exercise 6.64.
In exercise
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) < .05 when μSUV – μMID ≥ $ 500.

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