Question

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: Median_B ≠ Median_J ≠ Median_S ≠ Median_W
H_a: Median_B = Median_J = Median_S = Median_W

H₀: Median_B = Median_J = Median_S = Median_W
H_a: Median_B ≠ Median_J ≠ Median_S ≠ Median_W   

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

H₀: Median_B = Median_J = Median_S = Median_W
H_a: Median_B < Median_J > Median_S > Median_W

H₀: All populations of teaching evaluations are identical.
H_a: 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.

Answer 1

a)

H₀: All populations of teaching evaluations are identical.
H_a: 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.