For the following, determine whether the samples are dependent or independent, and choose the appropriate Wilcoxon test, state the null and alternate hypothesis, determine the critical values, find the test statistic, state whether you reject or fail to reject the null hypothesis, and explain your answer.
a. A college estimates the number of semesters it takes to complete a bachelor's degree differs by gender. The table shows 10 male and 10 female students (randomly selected) and the number of semesters to complete the degree.
Male
|
18
|
17
|
15
|
20
|
16
|
20
|
18
|
16
|
17
|
19
|
Female
|
16
|
17
|
17
|
16
|
18
|
20
|
21
|
18
|
19
|
16
|