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. 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 > Median3 H0: Not all populations of times are identical. Ha: All populations of times are identical. H0: Median1 ≠ Median2 ≠ Median3 Ha: Median1 = Median2 = Median3 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 = _____ State your conclusion. (A) Reject H0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. (B) Do not reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. (C) 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. (D) Reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three 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 | 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.
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 > Median3
H0: Not all populations of times are identical.
Ha: All populations of times are identical.
H0: Median1 ≠ Median2 ≠ Median3
Ha: Median1 = Median2 = Median3
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 = _____
State your conclusion.
(A) Reject H0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
(B) Do not reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
(C) 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.
(D) Reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
