Suppose a hypothesis test of Ho - = 0 vs. Ha1 - fl2 > 0 is...

 

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Suppose a hypothesis test of Ho - = 0 vs. Ha1 - fl2 > 0 is being conducted at a a = .01 significance level using sample sizes of m = 40 and n = 38. Assume also that = 1.8 and 2 = 1.4. a) If the true difference in population means is fl = 1 what is the probability of a type II error occurring? | b) Suppose the investigator would like the type II error probability from part a) to be no larger than 0.22. If m = 40 is still used, how large does n need to be? Suppose a hypothesis test of Ho - = 0 vs. Ha1 - fl2 > 0 is being conducted at a a = .01 significance level using sample sizes of m = 40 and n = 38. Assume also that = 1.8 and 2 = 1.4. a) If the true difference in population means is fl = 1 what is the probability of a type II error occurring? | b) Suppose the investigator would like the type II error probability from part a) to be no larger than 0.22. If m = 40 is still used, how large does n need to be?