A well-known soft-drink manufacturer has used the same secret recipe for its product since its introduction over 100 years ago. In response to a decreasing market share, however, the president of the company is contemplating changing the recipe. He has developed two alternative recipes. In a preliminary study, he asked 20 people to taste the original recipe and the two new recipes. He asked each to evaluate the taste of the product on a 5-point scale, where 1 = Awful, 2 = Poor, 3 = Fair, 4 = Good, and 5 = Wonderful.

The president decides that unless significant differences exist between evaluations of the products, he will not make any changes. Can we conclude that there are differences in the ratings of the three recipes?