Suppose course evaluation ratings for four college instructors are shown in the following table. Instructor Black Jennings Swanson Wilson 87 86 87 80 80 77 79 83 78 84 67 59 67 83 84 71 99 98 83 88 68 98 84 86 83 85 95 82 81 Use ? = 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: 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. H0: Not all populations of teaching evaluations are identical. Ha: 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? (A) Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the rating for these instructors. (B) Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors. (C) Reject H0. There is sufficient evidence to conclude that there is a significant difference among the rating for these instructors. (D) Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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

Instructor
Black	Jennings	Swanson	Wilson
87	86	87	80
80	77	79	83
78	84	67	59
67	83	84	71
99	98	83	88
68	98	84	86
	83	85
	95	82
		81

Use ? = 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: 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.

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

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

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

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

(D) 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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