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...


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





Jun 08, 2022
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