1. The Kenton Food company wished to test four different packagedesigns for a new breakfast cereal. Twenty stores, withapproximately equal sales volumes, were selected as theexperimental units. each store was randomly assigned one of thepackage designs, with each package assigned to five stores. A fireoccurred in one store during the study period, so this store had tobe dropped from the study. Hence, one of the designs was tested inonly 4 stores. The stores were chosen to be comparable in locationand sale volume. Other relevant conditions that could affect sales,such as price, amount and location of shelf space, and specialpromotional efforts, were kept the same for all stores in theexperiment.
Sales, in number of cases, were observed for the study period,and the results are recorded as follows.
Package Design #1: 11, 17, 16, 14, 15.
Package Design #2: 12, 10, 15, 19, 11.
Package Design #3: 23, 20, 18, 17, (fire)
Package Design #4: 27, 33, 22, 26, 28
Analyze the data and solve the hypothesis testing problem aboutequivalence of the package designs. Use α = .05.
