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 |
|---|
69 |
63 |
59 |
72 |
74 |
65 |
66 |
76 |
67 |
78 |
69 |
55 |
75 |
73 |
57 |
73 |
70 |
63 |
Use ? = 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.
H
0: All populations of times are identical.
H
a: Not all populations of times are identical.
H
0: Median1 = Median2 = Median3
H
a: Median1 ≠ Median2 ≠ Median3
H
0: Median1 = Median2 = Median3
H
a: Median1 > Median2 > Median3
H
0: Not all populations of times are identical.
H
a: All populations of times are identical.
H
0: Median1 ≠ Median2 ≠ Median3
H
a: Median1 = Median2 = Median3
Find the value of the test statistic. (Round your answer to two decimal places.) =_____
Find thep-value. (Round your answer to three decimal places.)
p-value = _____
State your conclusion.
(A) RejectH
0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
(B) Do not rejectH
0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
(C) Do not rejectH
0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
(D) RejectH
0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.