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 65 64 55 72 71 68 69 79 66 77 65 58 78 74 56 74 70 64 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. 1. H 0: All populations of times are identical. H a: Not all populations of times are identical. 2. H 0: Median1 ≠ Median2 ≠ Median3 H a: Median1 = Median2 = Median3 3. H 0: Median1 = Median2 = Median3 H a: Median1 > Median2 > Median3 4. H 0: Median1 = Median2 = Median3 H a: Median1 ≠ Median2 ≠ Median3 5 .H 0: Not all populations of times are identical. H a: All populations of times are identical. Find the value of the test statistic. (Round your answer to two decimal places.)( )Find thep-value. (Round your answer to three decimal places.) p-value = ( )State your conclusion. 1. Do not reject H 0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. 2. Reject H 0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. 3. Do not reject H 0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. 4. Reject H 0. There is not 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...

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
65	64	55
72	71	68
69	79	66
77	65	58
78	74	56
74	70	64

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.

1. H
₀: All populations of times are identical.

H
_a: Not all populations of times are identical.

2. H
₀: Median₁ ≠ Median₂ ≠ Median₃

H
_a: Median₁ = Median₂ = Median₃

3. H
₀: Median₁ = Median₂ = Median₃

H
_a: Median₁ > Median₂ > Median₃

4. H
₀: Median₁ = Median₂ = Median₃

H
_a: Median₁ ≠ Median₂ ≠ Median₃

5 .H
₀: Not all populations of times are identical.

H
_a: All populations of times are identical.

Find the value of the test statistic. (Round your answer to two decimal places.)

( )

Find thep-value. (Round your answer to three decimal places.)

p-value = ( )

State your conclusion.

1. Do not reject
H
₀. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

2. Reject
H
₀. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

3. Do not reject
H
₀. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

4. Reject
H
₀. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

Jun 01, 2022

SOLUTION.PDF

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...

Get Answer To This Question

Related Questions & Answers

Submit New Assignment