Psychology students want to determine if there are differences between the abili

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.

For the hypothesis test about the interaction term, the p-value is ______________.

greater than 0.05

between 0.01 and 0.025

less than 0.01

between 0.025 and 0.05

Source of Variation SS df MS F Major 16.82 1 16.82 11.21 Problem 102.92 4 25.73 17.15 Interaction 157.48 4 39.37 26.25 Error 60 40 1.5 Total 337.22 49

Explanation / Answer

We know that

The P- value for the hypothesis test about the interaction term is

P-value =P(reject Ho)

=P( l F l > l Finteraction l)

=P( l F l > 26.25)

= 1.0085E-10 from excel=FDIST(26.25,4,40)

=0.0000

The P- value is less than 0.01 .

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