Bank tellers. A bank is studying the average time that it takes 6 of its tellers to serve a customer. Customers line up in the queue and are served by the next available teller.

Here is a boxplot of the times it took to serve the last 140 customers.

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.

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