Question

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.

Answer 1