Answer to Question #24182 in Statistics and Probability for Tisha

Question

An industrial/organizational psychologist used a new training program designed to improve basic work skills. The training program is typically judged as effective if average scores on a basic work skills test exceed 80. The industrial/organizational psychologist obtained a random sample of participants who recently completed the training program, then administered to them a work skills test, their scores on the test are given in Data 12A.

(a) State the null and alternate hypothesis best suited to the nature of the psychologist’s inquiry.
(b) Test the null hypothesis at the .01 level of significance and state your conclusions.

Data 12A

83 85 87 84 94 82
78 81 87 94 97 86
85 85 82 84 84 88
85 88 91 77 78 82
82 84 75 86 90 75
74 86 85 89 82 77
79 87 82 83 86 94
78 87 92 89 80 79
88 82 87 90 88 88
80 87 83 82 89 89