A study reported in the journal of occupational and organizational psychology investigated the relationship of employment status to mental health. Each in a sample of 49 unemployed men was given a mental health exam using the General Health Questionnaire. The GHQ is a widely recognized measure of present mental health, with lower values indicating better mental health. The mean and standard deviation of the GHQ scores were x = 10.94 and s = 5.10 respectively.

a.) Specify the appropriate null and alternative hypotheses if we wish to test the research hypothesis that the mean GHQ score for all employed men exceeds 10.

b.) If we specify alpha = 0.05 what is the appropriate rejection region for this test?

c.) Conduct the test, state your conclusion clearly in the language of this exercise.