A professor of food chemistry at the University of Wisconsin recently developed a new system for keeping frozen foods crisp and fresh: coating them with watertight, edible film. The Pillsbury Company wants to test whether the new product is tasty.
The company collects a random sample of consumers who are given the following three treatments, in a randomly chosen order for each consumer: regular frozen pizza, frozen pizza packaged in a plastic bag, and the new edible-coating frozen pizza (all reheated, of course).
Fifty people take part in the study, and the results include SSTR = 128,899, SSBL = 538,217, and SSE = 42,223,987. (These are ANOVA results for taste scores on a 0-1000 scale.) Based on these results, are all three frozen pizzas perceived as equally tasty?