Question Description
Please refer the word document attached and write the case study accordingly.
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 in the data set Training.
DataFile:
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
time data for each method. What similarities or differences do
you observe from the sample data?
2. Use the methods of Chapter 10 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 differences between
the two methods? What is your recommendation? Explain.
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?
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