A psychologist develops a new inventory to measure depression. The population of "normal" individuals has mean score on this test of µ = 55 with ? = 12. To determine whether the test is sensitive to detecting those individuals that are severely depressed, a random sample of patients who are described as depressed by a therapist is selected and given the test. Presumably, the higher the score on the inventory, the more depressed the patient is. The data are as follows: 59, 60, 60, 67, 65, 90, 89, 73, 74, 81, 71, 71, 83, 83, 88, 83, 84, 86, 85, 78, 79
Use Hypothesis testing to determine if the new inventory differentiates between the patients who are described as depressed? Use an ? = .05