4. You want to test the hypothesis that the sample mean, X, is 50. Otherwise, it is greater than 50. Your test can be wr

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4 You Want To Test The Hypothesis That The Sample Mean X Is 50 Otherwise It Is Greater Than 50 Your Test Can Be Wr 1 (40.75 KiB) Viewed 14 times

4. You want to test the hypothesis that the sample mean, X, is 50. Otherwise, it is greater than 50. Your test can be written as the following: I Ho: μ = 50 HA: > 50 and a = © 0.05, the random sample is of size 10 taken from a population that is N(μ, 250). Indicate what is the distribution of X. What is the critical value c? What is the probability of rejecting the null when the null is true? What is the probability of failing to reject the null when the null is true? (b) (c) (d) (e) What is the probability of rejecting the null when = 60, i.e., when the null false?