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Executives of a supermarket...

Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ, spent by customers at the supermarkets has been reported to be 38 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that

μ,is greater than

38 minutes. The consultant plans to do a statistical test and collects a random sample of 125 shopping times at the supermarkets.

Suppose that the population of shopping times at the supermarkets has a standard deviation of 15 minutes and that the consultant performs her hypothesis test using the 0.05

level of significance. Assuming that the actual value of µ is 41 minutes, what is the probability that the consultant accepts the null hypothesis? Round your response to at least two decimal places.What is the probability that the consultant commits a Type I error? Round your response to at least two decimal places.Suppose that the consultant decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same sample size, but for this second test the consultant uses a significance level of 0.1 instead of a significance level of 0.05. Assuming that the actual value of µ is 41 minutes, how does the power of this second test

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What is the probability that the consultant commits a Type I error? Round your response to at least two decimal places.

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