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

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.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!