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.
H_a: Not all populations of times are identical.

- H₀: Median₁ = Median₂ = Median₃
H_a: Median₁ > Median₂ > Median₃

- H₀: Not all populations of times are identical.
H_a: All populations of times are identical.

- H₀: Median₁ ≠ Median₂ ≠ Median₃
H_a: Median₁ = Median₂ = Median₃

- H₀: Median₁ = Median₂ = Median₃
H_a: 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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