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 99% confidence interval estimate of the standard deviation of the population from which the sample was obtained. b. Repeat part (a) using the 93 professor evaluations. c. Compare the results from part (a) and part (b). Course Eval Prof Eval 4.2 4.8 4.4 4.4 3.9 4.2 4.5 4.3 4.6 5.0 4.2 4.5 3.8 4.7 3.4 3.7 5.0 5.0 4.2 4.0 3.1 3.3 3.9 3.9 3.9 4.3 3.6 3.5 3.1 2.7 4.7 4.5 3.8 4.7 3.8 4.2 4.2 4.6 3.2 3.3 3.4 3.7 3.4 3.7 4.4 4.5 4.4 4.4 3.9 4.6 4.5 4.5 4.0 4.5 4.1 4.4 3.3 3.7 4.7 4.5 2.1 2.3 3.7 4.0 4.7 4.7 3.9 4.5 3.9 4.3 4.6 4.0 3.6 3.9 3.6 3.6 3.8 4.1 4.8 4.9 3.7 3.5 4.6 4.4 3.5 3.6 3.9 4.0 4.3 4.7 4.9 4.9 3.7 4.0 3.7 3.9 4.3 4.2 4.3 4.6 4.7 4.3 4.0 4.2 4.2 4.7 3.6 4.3 2.8 3.7 3.5 4.2 4.0 3.8 3.9 3.9 3.2 3.7 3.0 3.5 4.1 4.5 4.6 4.5 3.6 3.7 3.5 3.8 4.1 4.7 3.5 4.0 4.0 4.7 2.0 2.2 3.3 3.0 4.6 4.4 3.7 3.3 4.3 4.8 3.8 4.3 3.6 4.1 3.8 3.7 4.2 4.3 4.1 4.6 4.0 4.1 4.1 4.1 4.9 4.9 3.6 3.8 3.8 3.1 4.0 4.4 4.9 4.8 4.9 4.9 4.4 4.4 3.4 3.6 3.2 3.1 3.6 3.4 3.8 3.9 4.2 3.9 4.0 4.7 3.1 3.4 Course Eval Prof Eval
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 99% confidence interval estimate of the standard deviation of the population from which the sample was obtained. b. Repeat part (a) using the 93 professor evaluations. c. Compare the results from part (a) and part (b). Course Eval Prof Eval 4.2 4.8 4.4 4.4 3.9 4.2 4.5 4.3 4.6 5.0 4.2 4.5 3.8 4.7 3.4 3.7 5.0 5.0 4.2 4.0 3.1 3.3 3.9 3.9 3.9 4.3 3.6 3.5 3.1 2.7 4.7 4.5 3.8 4.7 3.8 4.2 4.2 4.6 3.2 3.3 3.4 3.7 3.4 3.7 4.4 4.5 4.4 4.4 3.9 4.6 4.5 4.5 4.0 4.5 4.1 4.4 3.3 3.7 4.7 4.5 2.1 2.3 3.7 4.0 4.7 4.7 3.9 4.5 3.9 4.3 4.6 4.0 3.6 3.9 3.6 3.6 3.8 4.1 4.8 4.9 3.7 3.5 4.6 4.4 3.5 3.6 3.9 4.0 4.3 4.7 4.9 4.9 3.7 4.0 3.7 3.9 4.3 4.2 4.3 4.6 4.7 4.3 4.0 4.2 4.2 4.7 3.6 4.3 2.8 3.7 3.5 4.2 4.0 3.8 3.9 3.9 3.2 3.7 3.0 3.5 4.1 4.5 4.6 4.5 3.6 3.7 3.5 3.8 4.1 4.7 3.5 4.0 4.0 4.7 2.0 2.2 3.3 3.0 4.6 4.4 3.7 3.3 4.3 4.8 3.8 4.3 3.6 4.1 3.8 3.7 4.2 4.3 4.1 4.6 4.0 4.1 4.1 4.1 4.9 4.9 3.6 3.8 3.8 3.1 4.0 4.4 4.9 4.8 4.9 4.9 4.4 4.4 3.4 3.6 3.2 3.1 3.6 3.4 3.8 3.9 4.2 3.9 4.0 4.7 3.1 3.4 Course Eval Prof Eval
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
Related questions
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
interval estimate of the standard deviation of the population from which the sample was obtained.
93
course evaluations to construct a
99%
confidence b. Repeat part (a) using the
93
professor evaluations.c. Compare the results from part (a) and part (b).
Course Eval
Prof Eval
4.2
4.8
4.4
4.4
3.9
4.2
4.5
4.3
4.6
5.0
4.2
4.5
3.8
4.7
3.4
3.7
5.0
5.0
4.2
4.0
3.1
3.3
3.9
3.9
3.9
4.3
3.6
3.5
3.1
2.7
4.7
4.5
3.8
4.7
3.8
4.2
4.2
4.6
3.2
3.3
3.4
3.7
3.4
3.7
4.4
4.5
4.4
4.4
3.9
4.6
4.5
4.5
4.0
4.5
4.1
4.4
3.3
3.7
4.7
4.5
2.1
2.3
3.7
4.0
4.7
4.7
3.9
4.5
3.9
4.3
4.6
4.0
3.6
3.9
3.6
3.6
3.8
4.1
4.8
4.9
3.7
3.5
4.6
4.4
3.5
3.6
3.9
4.0
4.3
4.7
4.9
4.9
3.7
4.0
3.7
3.9
4.3
4.2
4.3
4.6
4.7
4.3
4.0
4.2
4.2
4.7
3.6
4.3
2.8
3.7
3.5
4.2
4.0
3.8
3.9
3.9
3.2
3.7
3.0
3.5
4.1
4.5
4.6
4.5
3.6
3.7
3.5
3.8
4.1
4.7
3.5
4.0
4.0
4.7
2.0
2.2
3.3
3.0
4.6
4.4
3.7
3.3
4.3
4.8
3.8
4.3
3.6
4.1
3.8
3.7
4.2
4.3
4.1
4.6
4.0
4.1
4.1
4.1
4.9
4.9
3.6
3.8
3.8
3.1
4.0
4.4
4.9
4.8
4.9
4.9
4.4
4.4
3.4
3.6
3.2
3.1
3.6
3.4
3.8
3.9
4.2
3.9
4.0
4.7
3.1
3.4
Course Eval
Prof Eval
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