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.

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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: 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.
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