The following data were drawn from two independent populations. Sample 1 14, 21, 17, 35, 32,...
The following data were drawn from two independent populations.
Sample 1 14, 21, 17, 35, 32,
Sample 2 28, 23, 31, 36, 34, 40
a. Specify the competing hypotheses to determine whether the median of Population 1 is less than the median of Population 2.
H0: m1 − m2 = 0; HA: m1 − m2 ≠ 0
H0: m1 − m2 ≤ 0; HA: m1 − m2 > 0
H0: m1 − m2 ≥ 0; HA: m1 − m2 < 0
b. Find the unadjusted sum of ranks, W. (Round your answer to 1 decimal place.)
c. The p-value for the test is found to be equal to 0.067. At the 5% significance level, what is the conclusion to the hypothesis test?
Do not reject H0; we cannot conclude that the median of population 1 is less than the median of population 2.
Do not reject H0; we can conclude that the median of population 1 is greater than the median of population 2.
Reject H0; we cannot conclude that the median of population 1 is less than the median of population 2.
Reject H0; we can conclude that the median of population 1 is greater than the median of population 2.
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The following data were drawn from two independent
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