(solution) Suppose you are interested in conducting the statistical test of H 0 : μ = 200 against H a :…

(solution) Suppose you are interested in conducting the statistical test of H 0 : μ = 200 against H a :…

Suppose you are interested in conducting the statistical test of H0: μ = 200 against Ha: μ 7 200, and you have decided to use the following decision rule: Reject H0 if the sample mean of a random sample of 100 items is more than 215. Assume that the standard deviation of the population is 80. a. Express the decision rule in terms of z. b. Find a, the probability of making a Type I error, by using this decision rule.