A client wants to determine whether there is a significant difference in the time required to complete
Question:
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 | 61 | 59 |
74 | 72 | 65 |
67 | 77 | 68 |
76 | 69 | 55 |
75 | 71 | 58 |
71 | 70 | 61 |
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.H0: All populations of times are identical. Ha: Not all populations of times are identical.H0: Median1 = Median2 = Median3 Ha: Median1 Median2 Median3 H0: Median1 = Median2 = Median3 Ha: Median1 > Median2 > Median3H0: Not all populations of times are identical. Ha: All populations of times are identical.H0: Median1 Median2 Median3 Ha: Median1 = Median2 = Median3Find 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 = State your conclusion.Reject H0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.Reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.Do not reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.