Question

Suppose course evaluation ratings for four college instructors are shown in the following table. Instructor Black...

Suppose course evaluation ratings for four college instructors are shown in the following table.

Instructor
Black Jennings Swanson Wilson
88 86 88 80
80 78 77 85
79 83 68 57
68 85 83 74
97 99 85 89
69 99 83 86
85 82
92 81
84

Use α = 0.05 and test for a significant difference among the rating for these instructors.

State the null and alternative hypotheses.

H0: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW
Ha: MedianB = MedianJ = MedianS = MedianW

H0: MedianB = MedianJ = MedianS = MedianW
Ha: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW   

H0: Not all populations of teaching evaluations are identical.
Ha: All populations of teaching evaluations are identical.

H0: MedianB = MedianJ = MedianS = MedianW
Ha: MedianB < MedianJ > MedianS > MedianW

H0: All populations of teaching evaluations are identical.
Ha: Not all populations of teaching evaluations are identical.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

What is your conclusion?

Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the rating for these instructors.

Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors.   

Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors.

Reject H0. There is sufficient evidence to conclude that there is a significant difference among the rating for these instructors.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)

H0: All populations of teaching evaluations are identical.
Ha: Not all populations of teaching evaluations are identical.

b()

test statistic =4.34

p value =0.227

Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors.

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