When only two treatments are involved, ANOVA and the Student’s t test (Chapter 11) result in the same conclusions. Also, for computed test statistics, t2 = F. To demonstrate this relationship, use the following example. Fourteen randomly selected students enrolled in a history course were divided into two groups, one consisting of 6 students who took the course in the normal lecture format. The other group of 8 students took the course as a distance course format. At the end of the course, each group was examined with a 50-item test. The following is a list of the number correct for each of the two groups.
Traditional Lecture | Distance |
37 | 50 |
35 | 46 |
41 | 49 |
40 | 44 |
35 | 41 |
34 | 42 |
45 | |
43 | |
a-1. Complete the ANOVA table. (Round your SS, MS and F values to 2 decimal places and p value to 4 decimal places.)
a-2. Use a α = 0.05 level of significance. (Round your answer to 2 decimal places.)
Using the t test from Chapter 11, compute t. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
Is there any difference in the mean test scores?
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