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 α = 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. 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, Median, H: Median, > Median, > Median, OH: Median, H: Median, O Ho: Median, H: Median, Median, Median, Median, + Median, Median, + Median, Median, = Median, 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. 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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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 α = 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.
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, Median,
H: Median, > Median, > Median,
OH: Median,
H: Median,
O Ho: Median,
H: Median,
Median, Median,
Median, + Median,
Median, + Median,
Median, = Median,
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.
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.
Transcribed Image Text: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 α = 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. 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, Median, H: Median, > Median, > Median, OH: Median, H: Median, O Ho: Median, H: Median, Median, Median, Median, + Median, Median, + Median, Median, = Median, 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. 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.
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