MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Listed in the accompanying data table are student evaluation ratings of courses and professors, where a rating of 5 is for "excellent." Assume that each sample is a simple random sample obtained from a population with a normal distribution .
a. Use the 93 course evaluations to construct a 95% confidence interval estimate of the standard deviation of the population from which the sample was obtained.
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Course Eval
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Prof Eval
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|---|---|---|
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4.1
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4.8
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|
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4.2
|
4.8
|
|
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3.5
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4.2
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|
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4.5
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4.2
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4.3
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4.6
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4.2
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4.5
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3.8
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4.5
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|
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3.7
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3.6
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4.7
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4.8
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|
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4.0
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4.0
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2.9
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3.9
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4.3
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4.2
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|
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3.9
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3.8
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|
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3.4
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3.4
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|
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2.7
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2.7
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|
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4.7
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4.3
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|
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4.3
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4.2
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|
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3.9
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3.9
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|
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4.6
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5.1
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|
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3.2
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3.6
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|
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3.7
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3.9
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|
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3.4
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3.6
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|
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4.5
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4.6
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|
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4.1
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4.4
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|
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4.0
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4.1
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|
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4.9
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4.5
|
|
|
4.2
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4.4
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|
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4.1
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4.4
|
|
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3.3
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3.8
|
|
|
4.6
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4.9
|
|
|
2.1
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2.6
|
|
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3.6
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4.5
|
|
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4.6
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4.8
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|
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3.9
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4.0
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4.3
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4.4
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|
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4.6
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4.2
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|
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4.0
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3.6
|
|
|
3.8
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3.9
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|
|
3.9
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3.8
|
|
|
4.6
|
4.6
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|
|
3.2
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3.5
|
|
|
4.7
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4.4
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|
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3.3
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3.3
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|
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3.8
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3.8
|
|
|
4.6
|
4.7
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|
|
4.6
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4.9
|
|
|
3.2
|
3.8
|
|
|
3.7
|
3.9
|
|
|
3.8
|
4.5
|
|
|
3.8
|
4.6
|
|
|
4.3
|
4.6
|
|
|
4.3
|
4.1
|
|
|
4.7
|
4.5
|
|
|
4.0
|
3.9
|
|
|
3.1
|
3.7
|
|
|
3.9
|
3.9
|
|
|
3.8
|
3.8
|
|
|
4.1
|
3.9
|
|
|
3.1
|
4.0
|
|
|
3.1
|
3.2
|
|
|
4.0
|
4.3
|
|
|
4.2
|
4.3
|
|
|
3.9
|
4.1
|
|
|
3.3
|
3.8
|
|
|
4.5
|
4.5
|
|
|
3.8
|
3.6
|
|
|
4.1
|
4.7
|
|
|
2.0
|
2.7
|
|
|
2.7
|
3.1
|
|
|
4.5
|
4.8
|
|
|
3.5
|
3.3
|
|
|
4.6
|
5.1
|
|
|
3.5
|
4.3
|
|
|
3.8
|
4.2
|
|
|
3.6
|
3.4
|
|
|
4.5
|
4.4
|
|
|
3.9
|
5.0
|
|
|
4.3
|
4.3
|
|
|
4.2
|
4.1
|
|
|
4.7
|
4.9
|
|
|
3.3
|
3.7
|
|
|
3.6
|
3.1
|
|
|
4.0
|
4.3
|
|
|
4.6
|
4.7
|
|
|
4.7
|
4.9
|
|
|
4.2
|
4.8
|
|
|
3.5
|
3.6
|
|
|
3.2
|
3.5
|
|
|
3.9
|
3.6
|
|
|
3.9
|
4.0
|
|
|
3.8
|
3.7
|
|
|
4.5
|
4.2
|
|
|
3.3
|
3.5
|
|
|
Course Eval
|
Prof Eval
|
b. Repeat part (a) using the 93 professor evaluations.
c. Compare the results from part (a) and part (b).
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