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) 2.69
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) 2.69 
C) 2.25 
D) 2.51

Quizplus · Accepted Answer

The critical value for the test about the interaction is found in the last row and column intersection of the ANOVA table. In this case, the F-value is 4.96. To find the corresponding critical value at the 5% significance level, we need to look up the F-distribution table with (df1=1, df2=36) degrees of freedom (from the table). The closest value to 4.96 is 2.69, which corresponds to the critical value at the 5% level of significance. Therefore, the answer is choice B.

Psychology Students Want to Determine If There Are Differences Between