Suppose course evaluation ratings for four college instructors are shown in the following table. Instructor Black Jennings Swanson Wilson 89 87 89 80 80 79 76 83 78 85 69 56 69 83 85 72 96 98 83 88 68 98 85 87 83 84 94 81 82 Use ? = 0.05 and test for a significant difference among the rating for these instructors. State the null and alternative hypotheses. 1. H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW 2. H0: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW Ha: MedianB = MedianJ = MedianS = MedianW 3. H0: Not all populations of teaching evaluations are identical. Ha: All populations of teaching evaluations are identical. 4. H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB < MedianJ > MedianS > MedianW 5. 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? 1. Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the rating for these instructors. 2. Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors. 3. Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the rating for these instructors. 4. Reject H0. There is 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
89	87	89	80
80	79	76	83
78	85	69	56
69	83	85	72
96	98	83	88
68	98	85	87
	83	84
	94	81
		82

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

State the null and alternative hypotheses.

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

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

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

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

5. 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?

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

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

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

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

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