To ascertain the number of tellers needed during peak hours of operation, data were collected by an urban bank. Four tellers were studied during three "busy" times,(1) Weekdays between 10:00 and 11:00 A.M.(2) Weekday afternoons between 2:00 and 3:00 P.M., and(3) Saturday mornings between 11:00 A.M. and 12:00 noon. An analyst chooses four randomly selected times within each of the three: time periods for each of the four teller positions over a period of months and the number of customers serviced were observed. The data are as follows.It is assumed that the number of customers served is a Poisson random variable'.(a) Discuss the danger in doing a standard analysis of variance on the data above. What assumptions, if any, would be violated?(b) Construct, a standard ANOVA I able that includes F-tests on main effects and interactions. If interactions and main effects are found to be significant, give scientific conclusions. What have we learned? Be sure to interpret any significant interaction. Use your own judgment regarding P-values.(c) Do the entire analysis again using an appropriate transformation on the response. Do you find any differences in your findings?Comment

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