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. Course Eval Prof Eval 4.1 4.8 4.2 4.8 3.5 4.2 4.5 4.2 4.3 4.6 4.2 4.5 3.8 4.5 3.7 3.6 4.7 4.8 4.0 4.0 2.9 3.9 4.3 4.2 3.9 3.8 3.4 3.4 2.7 2.7 4.7 4.3 4.3 4.2 3.9 3.9 4.6 5.1 3.2 3.6 3.7 3.9 3.4 3.6 4.5 4.6 4.1 4.4 4.0 4.1 4.9 4.5 4.2 4.4 4.1 4.4 3.3 3.8 4.6 4.9 2.1 2.6 3.6 4.5 4.6 4.8 3.9 4.0 4.3 4.4 4.6 4.2 4.0 3.6 3.8 3.9 3.9 3.8 4.6 4.6 3.2 3.5 4.7 4.4 3.3 3.3 3.8 3.8 4.6 4.7 4.6 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).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

Course Eval	Prof Eval
4.1	4.8
4.2	4.8
3.5	4.2
4.5	4.2
4.3	4.6
4.2	4.5
3.8	4.5
3.7	3.6
4.7	4.8
4.0	4.0
2.9	3.9
4.3	4.2
3.9	3.8
3.4	3.4
2.7	2.7
4.7	4.3
4.3	4.2
3.9	3.9
4.6	5.1
3.2	3.6
3.7	3.9
3.4	3.6
4.5	4.6
4.1	4.4
4.0	4.1
4.9	4.5
4.2	4.4
4.1	4.4
3.3	3.8
4.6	4.9
2.1	2.6
3.6	4.5
4.6	4.8
3.9	4.0
4.3	4.4
4.6	4.2
4.0	3.6
3.8	3.9
3.9	3.8
4.6	4.6
3.2	3.5
4.7	4.4
3.3	3.3
3.8	3.8
4.6	4.7
4.6	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