Suppose that a population of brakes supplied has a mean stopping distance, when the brake is...

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Suppose that a population of brakes supplied has a mean stoppingdistance, when the brake is applied fully to a vehicle traveling at75 mph is 268 feet. Population standard deviation is 20 feet.Suppose that you take a sample of n brakes to test and if theaverage stopping distance is less than or equal to a criticalvalue, you accept the lot. If it is more than the critical value,you reject the lot. You want an alpha of 0.03. Further, we want toreject lots with a population mean stopping distance of 282 ft., wewant to reject with a probability of 0.9. (Note that it is onesided, since we would not get worried if the vehicle stops at adistance shorter than the average time.)

  1. Draw a diagram and mark the two distributions, alpha, beta andCV.

  1. What is the correct sample size that can achieve this?
  1. What is the critical value?

Answer & Explanation Solved by verified expert
4.4 Ratings (934 Votes)
It is given that The null hypothesis is The alternate hypothesis is the significance level for the test is we want to reject the null hypothesis    See Answer
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