A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 65 64 55 73 71 67 66 76 68 79 65 57 77 74 58 74 70 64 Use a = 0.05 and test to see whether there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. O Ho: Not all populations of times are identical. H: All populations of times are identical. O Hoi Median, Median, Mediang H: Median, - Median, - Median, O Ho: All populations of times are identical. H: Not all populations of times are identical. O Ho: Median, = Mediang = Mediang H: Median, > Median, > Mediang O Ho: Median, - Median, - Mediang H: Median, = Mediang # Median; 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.) prvalue =

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A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program
evaluation follow.
Method 1
Method 2
Method 3
65
64
55
73
71
67
66
76
68
65
57
77
74
58
74
70
64
Use a = 0.05 and test to see whether there is a significant difference in the time required by the three methods.
State the null and alternative hypotheses.
O Ho: Not all populations of times are identical.
H: All populations of times are identical.
O Ho: Median, * Median, * Median,
H: Median, = Median, = Median,3
O Ho: All populations of times are identical.
H: Not all populations of times are identical.
O Ho: Median, = Median, = Median3
H: Median, > Median, > Median,
O Ho: Median, = Median, = Median,
H: Median, = Median, + Median,
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 =
Transcribed Image Text:A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 65 64 55 73 71 67 66 76 68 65 57 77 74 58 74 70 64 Use a = 0.05 and test to see whether there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. O Ho: Not all populations of times are identical. H: All populations of times are identical. O Ho: Median, * Median, * Median, H: Median, = Median, = Median,3 O Ho: All populations of times are identical. H: Not all populations of times are identical. O Ho: Median, = Median, = Median3 H: Median, > Median, > Median, O Ho: Median, = Median, = Median, H: Median, = Median, + Median, 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 =
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