Reference no: EM132402483

The Kenton Food Company wished to test four different package designs for a new breakfast cereal. Twenty stores, with approximately equal sales volumes, were selected as the experimental units. Each store was randomly assigned one of the package designs, with each package design assigned to five stores. A fire occurred in one store during the study period, so this store had to be dropped from the study. Hence, one of the designs were tested in only four stores. The stores were chosen to be comparable in location and sales volume. Other relevant conditions that could affect sales, such as price, amount and location of shelf space, and special promotional efforts, were kept the same for all of the stores in the experiment. Sales, in number of cases, were obtained for the study period. 

Package 1: 11 17 16 14 15

Package 2: 12 10 15 19 11

Package 3: 23 20 18 17

Package 4: 27 33 22 26 28

Conduct a test to determine whether or not the mean response rates for the packages differ. Solve the hypothesis testing about the equivalence of the package designs. Use level of significance a=.10. State the alternatives, decision rule, and conclusion. What is the p-value of the test.