Question

A nationwide company specializing in preparing students for college and graduate school entrance exams, such as...

A nationwide company specializing in preparing students for college and graduate school entrance exams, such as the SAT, ACT, GMAT, GRE and LSAT, had the objective of improving its ACT preparatory course. Two factors of interest to the company are the length of the course (a condensed 10-day period or a regular 30-day period) and the type of course delivery (traditional classroom or online). The company collected data by randomly assigning 10 clients to each of the four treatments that represent a combination of length of the course and the type of course.The results can be found in the data file act.csv. Based on the results of a two way anova with interaction effects, which of the following can you conclude?

A. Reject the null hypothesis that there are no Length of Course effects. The p-value for Length of Course = .028 < alpha = .05.

B. Reject the interaction effect and the main effect Length of Course because both are significant at alpha=.05.

C. Reject the null hypothesis that there are no interaction effects since the p-value for the Length of Course x Type of Delivery interaction is equal to 1.89 x 10 -5 < alpha = .05.

D. Reject the null hypothesis that there are no Type of Delivery effects because the p-value for Type of Delivery = .002 < alpha = .05.

Score Type Length
26 Traditional Condensed
27 Traditional Condensed
25 Traditional Condensed
21 Traditional Condensed
21 Traditional Condensed
27 Online Condensed
29 Online Condensed
30 Online Condensed
24 Online Condensed
30 Online Condensed
18 Traditional Condensed
24 Traditional Condensed
19 Traditional Condensed
20 Traditional Condensed
18 Traditional Condensed
21 Online Condensed
32 Online Condensed
20 Online Condensed
28 Online Condensed
29 Online Condensed
34 Traditional Regular
24 Traditional Regular
35 Traditional Regular
31 Traditional Regular
28 Traditional Regular
24 Online Regular
16 Online Regular
22 Online Regular
20 Online Regular
23 Online Regular
28 Traditional Regular
21 Traditional Regular
23 Traditional Regular
29 Traditional Regular
26 Traditional Regular
21 Online Regular
19 Online Regular
19 Online Regular
24 Online Regular
25 Online Regular
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The ANOVA table for the above problem

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Length 1 0.225 0.225 0.02 0.90020864
Type 1 5.625 5.625 0.40 0.53175028
Length*Type 1 342.225 342.225 24.26 0.00001888
Error 36 507.900 14.108
Total 39 855.975

From tha above ANOVA table we can conclude that Reject the null hypothesis that there are no interaction effects since the p-value for the Length of Course x Type of Delivery interaction is equal to 1.89 x 10 -5 < alpha = .05.

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