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 98%
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

4.0 4.6

4.4 4.6

3.5 4.1

4.3 4.7

4.5 4.5

4.4 4.4

4.3 4.1

3.4 3.3

4.8 4.9

3.9 4.0

3.1 3.3

4.0 4.1

3.6 4.3

3.5 3.5

2.7 3.1

4.4 4.8

4.1 4.7

3.6 4.0

4.3 4.9

3.7 3.2

3.1 3.5

3.4 3.5

4.3 4.2

4.6 4.4

3.8 4.1

4.5 4.8

4.2 4.4

3.8 4.2

3.6 3.7

4.3 4.8

2.2 2.4

3.2 4.5

4.4 4.7

3.8 4.4

4.0 4.5

4.3 4.3

3.7 4.1

4.1 4.1

4.0 3.8

4.4 4.6

3.3 3.5

4.7 4.7

3.2 3.4

3.6 4.1

4.4 4.3

4.6 4.6

3.6 4.0

3.4 3.9

3.8 4.3

4.4 4.5

4.3 4.2

4.3 4.0

4.4 4.7

3.6 3.9

2.9 3.5

3.8 4.1

3.7 4.0

3.7 4.4

3.5 3.7

2.9 3.3

3.8 4.2

4.3 4.5

3.6 3.8

3.1 3.5

4.2 4.6

3.4 3.6

4.0 4.4

1.9 2.5

3.2 2.8

4.2 4.5

3.3 3.8

4.5 4.5

3.5 4.3

3.9 4.0

3.5 3.9

4.6 4.2

4.2 4.6

4.5 4.3

4.0 3.8

4.6 5.2

3.6 3.4

3.6 3.2

3.6 3.9

4.5 4.5

4.7 4.8

4.2 4.5

3.4 3.3

3.3 3.2

3.7 3.9

4.3 4.1

4.0 3.5

4.2 4.3

3.3 3.5

Answer #1

(c) From the two confidence intervals, we observe that their ranges
overlap with each other and also the width of their confidence
intervals is almost the same. This tells us that the standard
deviations of student evaluation ratings of courses and professors
are not significantly different.

Build a stem-and-leaf plot for these measurements
3.1
4.9
2.8
3.6
2.5
4.5
3.5
3.7
4.1
4.9
2.9
2.1
3.5
4.0
3.7
2.7
4.0
4.4
3.7
4.2
3.8
6.2
2.5
2.9
2.8
5.1
1.8
5.6
2.2
3.4
2.5
3.6
5.1
4.8
1.6
3.6
6.1
4.7
3.9
3.9
4.3
5.7
3.7
4.6
4.0
5.6
4.9
4.2
3.1
3.9
A. Describe the form of data distribution. Do you notice any
unusual results?
B. Use the stem-and-leaf plot to find the minimum
observation....

Listed below are student evaluation ratings of courses, where a
rating of 5 is for "excellent." The ratings were obtained at one
university in a state. Construct a confidence interval using a 99%
confidence level. What does the confidence interval tell about the
population of all college students in the state?
3.8, 2.8, 4.2, 4.6, 3.1, 4.0, 3.6, 4.9, 4.8, 4.1, 4.6, 4.0, 3.2,
3.7, 3.5
What is the confidence interval for the population mean μ?
___<mu<____

Listed below are student evaluation ratings of courses, where a
rating of 5 is for "excellent." The ratings were obtained at one
university in a state. Construct a confidence interval using a 95%
confidence level. What does the confidence interval tell about the
population of all college students in the state? 3.6, 3.1, 3.9,
4.5, 3.0, 4.3, 3.5, 4.7, 4.2, 4.1, 4.3, 3.6, 3.4, 3.7, 3.6
What is the confidence interval for the population mean mu?

Listed below are student evaluation ratings of courses, where a
rating of 5 is for "excellent." The ratings were obtained at one
university in a state. Construct a confidence interval using a 95%
confidence level. What does the confidence interval tell about the
population of all college students in the state? 3.9, 3.0, 3.8,
5.0, 2.9, 4.2, 3.7, 4.6, 4.2, 4.3, 4.5, 4.1, 3.1, 4.3,
3.6 What is the confidence interval for the population mean u?

Listed below are student evaluation ratings of courses, where
a rating of 5 is for "excellent." The ratings were obtained at one
university in a state. Construct a confidence interval using a 95%
confidence level. What does the confidence interval tell about the
population of all college students in the state?
3.9, 3.1, 3.7, 4.4, 3.2, 4.4, 3.7, 5.0, 4.7, 4.5, 4.1, 3.9,
3.3, 3.7, 4.0
What is the confidence interval for the population mean
mu
μ?

Listed below are student evaluation ratings of courses, where a
rating of 5 is for "excellent." Using the bootstrap method with
200 bootstrap samples, construct a
95
%
confidence interval estimate of
mu
.
How does the result compare to the confidence interval
3.62
less thanmuless than4.23
constructed using only the original sample data?
3.6
3.1
4.0
4.8
2.9
4.2
3.4
4.5
4.5
4.3
4.3
3.8
3.4
4.1
4.0
LOADING...
Click the icon to view the table of bootstrap samples....

Listed below are student evaluation ratings of courses, where a
rating of 5 is for "excellent." Using the bootstrap method with
200 bootstrap samples, construct a 90% confidence interval
estimate of mu. How does the result compare to the confidence
interval 3.65 less than mu less than 4.16 constructed using only
the original sample data?
3.8 2.9 3.9 4.8 3.0 4.2 3.5 4.6 4.5 4.3 4.2 3.9 3.2 4.0 3.8
The bootstrap interval is nothing less than mu less than...

Listed below are student evaluation ratings of courses, where a
rating of 5 is for "excellent." The ratings were obtained at one
university in a state. Construct a confidence interval using a 90
% confidence level. What does the confidence interval tell about
the population of all college students in the state? 3.8 , 2.9 ,
4.1 , 5.0 , 3.0 , 4.3 , 3.5 , 4.5 , 4.5 , 4.4 , 4.5 , 4.0
, 3.1 , 3.8 ,...

Listed below are student evaluation ratings of courses, where a
rating of 5 is for "excellent." Using the bootstrap method with 200
bootstrap samples, construct a
90 %
confidence interval estimate of μ.
How does the result compare to the confidence interval
3.67<μ<4.16 constructed using only the original sample
data?
3.8
3.0
4.1
4.7
3.1
4.2
3.5
4.9
4.3
4.3
4.1
3.7
3.4
4.0
3.6
LOADING...
Click the icon to view the table of bootstrap samples.
I don't want...

Listed below are student evaluation ratings of courses, where a
rating of 5 is for "excellent." Using the bootstrap method with
200 bootstrap samples, construct a 90% confidence interval
estimate of mu. How does the result compare to the confidence
interval 3.65less than mu less than 4.16 constructed using only the
original sample data?
3.8 2.9 3.9 4.8 3.0 4.2 3.5 4.6 4.5 4.3 4.2 3.9 3.2 4.0 3.8
Click the icon to view the table of bootstrap samples. The...

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