What is the critical value using an alpha level of .05? What is the critical value using an alpha level of .01? Why is the critical value larger when using an alpha of .01?
You have been hired by one of the local pizza places in my town that is trying to determine which type of sauce customers like the most. There are three types of sauces it is currently using: regular tomato sauce, spicy tomato sauce, and white sauce. You asked 16 customers to taste and rate each type of sauce, using a 1 (hated it) to 7 (loved it) response range. Here are the means for each type of sauce:
Sauce Mean
Regular tomato 4.33
Spicy tomato 6.12
White 2.25
Ans: 3.32 for an alpha of .05; 5.39 for an alpha of 01. It is larger for .01 because a smaller amount of the range of F test statistics is designated as the region of null hypothesis rejection. Therefore, we’ll need a larger test statistic to reject the null hypothesis.
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