Question

Air Force Training Program

An Air Force introductory course in electronics uses a personalized system of instruction whereby each student views a videotaped lecture and then is given a programmed instruction text. The students work independently with the text until they have completed the training and passed a test. Of concern is the varying pace at which the students complete this portion of their training program. Some students are able to cover the programmed instruction text relatively quickly, whereas other students work much longer with the text and require additional time to complete the course. The fast students wait until the slow students complete the introductory course before the entire group proceeds together with other aspects of their training.

A proposed alternative system involves use of computer-assisted instruction. In this method, all students view the same videotaped lecture and then each is assigned to a computer terminal for further instruction. The computer guides the student, working independently, through the self-training portion of the course.

To compare the proposed and current methods of instruction, an entering class of 122 students was assigned randomly to one of the two methods. One group of 61 students used the current programmed-text method and the other group of 61 students used the proposed computer-assisted method. The time in hours was recorded for each student in the study. The following data are provided.

Course Completion Times (hours) for Current Training Method
76 76 77 74 76 74 74 77 72 78 73
78 75 80 79 72 69 79 72 70 70 81
76 78 72 82 72 73 71 70 77 78 73
79 82 65 77 79 73 76 81 69 75 75
77 79 76 78 76 76 73 77 84 74 74
69 79 66 70 74 72

Course Completion Times (hours) for Proposed Computer-Assisted Method
74 75 77 78 74 80 73 73 78 76 76
74 77 69 76 75 72 75 72 76 72 77
73 77 69 77 75 76 74 77 75 78 72
77 78 78 76 75 76 76 75 76 80 77
76 75 73 77 77 77 79 75 75 72 82
76 76 74 72 78 71




Managerial Report

1. Use appropriate descriptive statistics to summarize the training data for each method. What similarities or differences do you observe from the sample data?
2. Use the tests of hypothesis procedure to comment on any difference between the population means for the two methods. Discuss your findings.
3. Compute the standard deviation and variance for each training method. Conduct a hypothesis test about the equality of population variances for the two training methods. Discuss your findings.
4. What conclusion can you reach about any difference between the two methods?
5. Can you suggest other data or testing that might be desirable before making a final decision on the training program to be used in the future?

Please provide a detail solution. For Excel functions please provide the formula used to determine the values.

Answer 1

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