The following information is available for two samples selected from independent and similarly shaped right-skewed populations:
Sample 1: n1 = 5 1.1 2.3 2.9 3.6 14.7
Sample 2: n2 = 6 2.8 4.4 4.4 5.2 6.0 18.5
a. Replace the observed values with the corresponding ranks (where 1 = smallest value; n =n1 + n2 = 11 = largest value) in the combined samples.
b. What is the value of the test statistic T1?
c. Compute the value of T2, the sum of the ranks in the larger sample.
d. To check the accuracy of your rankings, use Equation (12.7) on page 450 to demonstrate that
T1 + T2 = n(n + 1)/2