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?
A college admissions officer wants to know if visiting the campus affects people’s perceptions of the college. He has seven people fill out an attitude toward the college questionnaire before the campus visit, during the visit (at lunch), and after the visit. The data are collected on a 7-point Likert scale with higher numbers indicating more positive attitudes. The data he collects are as follows.
Time Mean
Before 2.43
During/at lunch 3.43
After 5.57
Ans: 3.89 for an alpha of .05; 6.93 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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Answer the following statement true (T) or false (F)