One-sided hypothesis test

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Q. A car manufacturer claims that its vehicles average at least 25 miles per gallon, with a population standard deviation of σ=2. We take a sample of n=36 cars to test fuel efficiency, and with to performance a one-sided hypothesis test of the manufacturer's claim at a level of α=.05.

a. What is the critical value for the sample mean?

b. Suppose the answer to part a, is 23.5 (it is not, but assume it is to do part b). If the true value of efficiency in the population is 22.75, what is the power of this hypothesis test?

Reference no: EM136966

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