When only two treatments are involved, ANOVA and the Student’s t-test (Chapter 11) result in the same conclusions. Also,

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When only two treatments are involved, ANOVA and theStudent’s t-test (Chapter 11) result in the sameconclusions. Also, for computed teststatistics, t2 = F. Todemonstrate this relationship, use the following example. Fourteenrandomly selected students enrolled in a history course weredivided into two groups, one consisting of six students who tookthe course in the normal lecture format. The other group of eightstudents took the course in a distance format. At the end of thecourse, each group was examined with a 50-item test. The followingis a list of the number correct for each of the two groups.
Required:a-1. Complete the ANOVA table. (Roundyour SS, MS, and F values to 2 decimal placesand p-value, F crit to 4 decimalplaces.)
a-2. Use a α = 0.01 level of significance,compute the critical value. (Round your answer to 2decimal places.)
b. Using the t-test fromChapter 11, compute t. (Negative amountshould be indicated by a minus sign. Round your answer to 3 decimalplaces.)
c. Is there any difference in the mean testscores?