A career placement advisor claims that there is a difference in the total times required to earn a doctorate degree by female and male graduate students. The table shows the total times (in years) to earn a doctorate for a random sample of 12 female and 12 male graduate students. At \(\alpha=0.01\), can you support the advisor's claim?

Use a Wilcoxon test to test the claim by doing the following.

(a) Identify the claim and state \(H_{0}\) and \(H_{a}\).

(b) Decide whether to use a Wilcoxon signed-rank test or a Wilcoxon rank sum test.

(c) Find the critical value(s).

(d) Find the test statistic.

(e) Decide whether to reject or fail to reject the null hypothesis.

(f) Interpret the decision in the context of the original claim.

Transcribed Image Text:

Female 9 119 12 11 8 10 13 6 6 8 9 Male 8 7 8 10 9 7 7 9 10 8 9 7