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.
Complete the Anova table. (Round your SS, MS, and F values to 2 decimal places and p value to 4 decimal places.)
Use a α = 0.01 level of significance. (Round your answer to 2 decimal places.)
Using the t test from Chapter 11, compute t. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Traditional Lecture | Distance |
36 | 48 |
38 | 38 |
32 | 47 |
30 | 33 |
30 | 46 |
36 | 35 |
45 | |
46 |
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