Psychology students want to determine if there are differences between the ability of business majors and science majors to solve various types of analytic problems. They conduct an experiment and record the amount of time it takes to complete each analytic problem. The following two-way ANOVA table summarizes their findings. At the 5% significance level, the critical value for the test about the interaction is less than ________.
A) 2.14
B) 2.61
C) 2.25
D) 2.51

Question

Psychology students want to determine if there are differences between the ability of business majors and science majors to solve various types of analytic problems. They conduct an experiment and record the amount of time it takes to complete each analytic problem. The following two-way ANOVA table summarizes their findings.  At the 5% significance level, the critical value for the test about the interaction is less than ________.
A) 2.14 
B) 2.61 
C) 2.25 
D) 2.51

Quizplus · Accepted Answer

To find the critical value for the test about the interaction, we need to look at the row labeled "Interaction" in the ANOVA table. The degrees of freedom for the interaction term are (2,85) and the F-value is 10.08. Using a significance level of 0.05, we can look up the critical value in a table of F-distributions or use a calculator. The critical value is 2.61, which is greater than the F-value of 10.08. Therefore, we fail to reject the null hypothesis of no interaction between major and problem type. The question is asking for the critical value to be less than the value we find, so the correct answer is (B) 2.61.

Psychology Students Want to Determine If There Are Differences Between