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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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