Three different point-of-purchase displays are being considered for lottery ticket sales at a chain of convenience stores. Two different locations within the store are also being considered. Eighteen stores for which lottery ticket sales have been comparable are randomly assigned to the six cells shown here, with three stores receiving each treatment. Data are the number of lottery tickets sold during the day of the experiment.
For these data, use the 0.025 level of significance in drawing conclusions about the main and interactive effects in the experiment. Determine the 95% confidence interval for the population mean for each factor level.
