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.
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.
H0: Not all populations of times are
identical.
Ha: All populations of times are
identical.H0:
Median1 ≠Median2 ≠Median3
Ha: Median1 =
Median2 =
Median3 H0:
All populations of times are identical.
Ha: Not all populations of times are
identical.H0: Median1 =
Median2 = Median3
Ha: Median1 >
Median2 >
Median3H0: Median1 =
Median2 = Median3
Ha:
Median1 ≠Median2 ≠Median3
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.
Do not reject H0. There is 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. 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 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 evaluat
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A client wants to determine whether there is a significant difference in the time required to complete a program evaluat
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