Question: 9. Tellers A bank is studying the time that it takes 6 of its tellers to serve an average customer. Customers line up in the

9. Tellers A bank is studying the time that it takes 6 of its tellers to serve an average customer. Customers line up in the queue and then go to the next available teller. Here is a boxplot of the last 200 customers and the times it took each teller:

Time (min) 120 90 60 30 80 30 1 2 3 4

a) What are the null and alternative hypotheses?

b) What do you conclude?

c) Would it be appropriate to run a multiple comparisons test (for example, a Bonferroni test) to see which tellers differ from each other? Explain.

Time (min) 120 90 60 30 80 30 1 2 3 4 5 6 Sum of Source DF Squares Teller ANOVA Table Mean Square F-Ratio P-Value Teller 5 3315.32 Error 134 58919.1 663.064 1.508 0.1914 439.695 Total 139 62234.4

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