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 68 64 58 71 73 65 69 79 66 77 68 55 75 74 56 74 70 64 Use a = 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. O Ho: Not all populations of times are identical. H: All populations of times are identical. Ho: All populations of times are identical. H: Not all populations of times are identical. O Ho: Median = Median = Median3 H: Median > Median 2 > Median 3 = Ho: Median, Median₂ = Median 3 Median2 # Median 3 H: Median, O Ho: Median, Median, + Median3 U. Madian Type here to search Madina -Madin L zoom 72°F (4) 3:37 PM 5/9/2024 10 8 there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. O Ho: Not all populations of times are identical. H: All populations of times are identical. Ho : All populations of times are identical. H₂: : Not all populations of times are identical. O Ho: Median₁ = Median2 = Median3 H: Median > Median2 > Median3 O Ho: Median₁ = Median2 = Median 3 H: Median, Median2 # Median 3 O Ho: Median, Median2 # Median 3 Ha Median₁ = Median2 = Median3 Find the value of the test statistic. (Round your answer to two decimal places.) 11.82 Find the p-value. (Round your answer to three decimal places.) p-value State your conclusion. D Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. ◇ Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. ◇ Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Type here to search L W NEW 72°F

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Need p-value and test statistic please
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
68
64
58
71
73
65
69
79
66
77
68
55
75
74
56
74
70
64
Use a = 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.
O Ho: Not all populations of times are identical.
H: All populations of times are identical.
Ho: All populations of times are identical.
H: Not all populations of times are identical.
O Ho: Median = Median = Median3
H: Median > Median 2 > Median 3
=
Ho: Median, Median₂ = Median 3
Median2 # Median 3
H: Median,
O Ho: Median, Median, + Median3
U. Madian
Type here to search
Madina -Madin
L
zoom
72°F
(4)
3:37 PM
5/9/2024
10
8
Transcribed Image Text: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 68 64 58 71 73 65 69 79 66 77 68 55 75 74 56 74 70 64 Use a = 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. O Ho: Not all populations of times are identical. H: All populations of times are identical. Ho: All populations of times are identical. H: Not all populations of times are identical. O Ho: Median = Median = Median3 H: Median > Median 2 > Median 3 = Ho: Median, Median₂ = Median 3 Median2 # Median 3 H: Median, O Ho: Median, Median, + Median3 U. Madian Type here to search Madina -Madin L zoom 72°F (4) 3:37 PM 5/9/2024 10 8
there is a significant difference in the time required by the three methods.
State the null and alternative hypotheses.
O Ho: Not all populations of times are identical.
H: All populations of times are identical.
Ho
: All populations of times are identical.
H₂:
: Not all populations of times are identical.
O Ho: Median₁ = Median2
= Median3
H: Median > Median2 > Median3
O Ho: Median₁ = Median2
= Median 3
H: Median, Median2 # Median 3
O Ho: Median, Median2 # Median 3
Ha Median₁ = Median2 = Median3
Find the value of the test statistic. (Round your answer to two decimal places.)
11.82
Find the p-value. (Round your answer to three decimal places.)
p-value
State your conclusion.
D
Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
◇ Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
◇ Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.
Type here to search
L W
NEW
72°F
Transcribed Image Text:there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. O Ho: Not all populations of times are identical. H: All populations of times are identical. Ho : All populations of times are identical. H₂: : Not all populations of times are identical. O Ho: Median₁ = Median2 = Median3 H: Median > Median2 > Median3 O Ho: Median₁ = Median2 = Median 3 H: Median, Median2 # Median 3 O Ho: Median, Median2 # Median 3 Ha Median₁ = Median2 = Median3 Find the value of the test statistic. (Round your answer to two decimal places.) 11.82 Find the p-value. (Round your answer to three decimal places.) p-value State your conclusion. D Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. ◇ Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. ◇ Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Type here to search L W NEW 72°F
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