You may need to use the appropriate technology to answer this 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 63 59 71 74 65 67 77 68 76 69 55 75 73 58 73 70 63 a, 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: Not all populations of times are identical. Ha: All populations of times are identical. - H0: Median1 ≠ Median2 ≠ Median3 Ha: Median1 = Median2 = Median3 - H0: Median1 = Median2 = Median3 Ha: Median1 ≠ Median2 ≠ Median3 b, Find the value of the test statistic. (Round your answer to two decimal places.) and the p-value. (Round your answer to three decimal places.) c, 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. - Do not 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. - Reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods
You may need to use the appropriate technology to answer this 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 63 59 71 74 65 67 77 68 76 69 55 75 73 58 73 70 63 a, 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: Not all populations of times are identical. Ha: All populations of times are identical. - H0: Median1 ≠ Median2 ≠ Median3 Ha: Median1 = Median2 = Median3 - H0: Median1 = Median2 = Median3 Ha: Median1 ≠ Median2 ≠ Median3 b, Find the value of the test statistic. (Round your answer to two decimal places.) and the p-value. (Round your answer to three decimal places.) c, 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. - Do not 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. - Reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6, You may need to use the appropriate technology to answer this 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 | 63 | 59 |
71 | 74 | 65 |
67 | 77 | 68 |
76 | 69 | 55 |
75 | 73 | 58 |
73 | 70 | 63 |
a, 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.
Ha: Not all populations of times are identical.
- H0: Median1 = Median2 = Median3
Ha: Median1 > Median2 > Median3
Ha: Median1 > Median2 > Median3
- H0: Not all populations of times are identical.
Ha: All populations of times are identical.
Ha: All populations of times are identical.
- H0: Median1 ≠ Median2 ≠ Median3
Ha: Median1 = Median2 = Median3
Ha: Median1 = Median2 = Median3
- H0: Median1 = Median2 = Median3
Ha: Median1 ≠ Median2 ≠ Median3
Ha: Median1 ≠ Median2 ≠ Median3
b, Find the value of the test statistic. (Round your answer to two decimal places.) and the p-value. (Round your answer to three decimal places.)
c, 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.
- Do not 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.
- Reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
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