Use the following scenario to answer the 4 questions. A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon to 1 PM lunch period. The waiting time needs to be shortened to increase customer satisfaction. A random sample of 9 customers is selected, and stored in bank 1, the results, in minutes, are as follows:
4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 4.50
Another branch is also concerned with the noon to 1 PM lunch period. A random sample of 10 customers is selected, and stored in bank 2, and the results, in minutes, are as follows:
9.66 5.90 8.02 5.79 8.73 3.82 8.01 8.35 10.49 6.68
Is there evidence of a difference in the median waiting time between the two branches? Use α = .05
1) What is the hypothesis scenario?
2) State n1, n2, and the critical values for the rejection regions.
3) What is the Wilcoxon Rank Sum Test Statistic?
4) State your decision and conclusion.