The following are scores from a technology proficiency test required of all new incoming students at a particular college. Use the Wilcoxon rank sum test to see if there is a difference in scores between freshmen and transfer students at the 0.05 level of significance.

Use the Wilcoxon rank sum test. Assume that the samples are independent. Also perform each of these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

Freshmen 40 32 40 32 47 39 38 39 29 35 30 Transfes 38 43 35 45 37 36 36 33 46 44 41