a company has administrated a brief test to all 10,000 personel. The mean score for all is 50 with a standard deviation of 10 a researcher wishes to invetigate the theory that supervisors score higher on test than managers. to test this theory he selected a random sample of 400 first line supervisors and finds thge mean score to be 52.
a. test the hypothesis that supervisors score higher than managers use a Z critical of 2 standard scores to test this hypothesis ( alpha=.0228)
1 state hypothesis
2 choose test statistic
3 identify critical score
4 identified computed score
5 decision rule
b. suppose that the actual mean score for all supervisors is 52 what is the probability that the decision rule will lead to a correct decision, what is the power of the test?