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.
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.
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