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 six students who took the course in the normal lecture format. The other group of eight students took the course in a distance 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 39 42 35 36 45 48 35 46 49 43 33 45 42 46 Required: a-1. Complete the ANOVA table. (Round your SS, MS, and F values to 2 decimal places and p-value, F crit to 4 decimal places.) Source of Variation SS df MS F p-value F crit Treatment Error Total a-2. Use a α = 0.05 level of significance, compute the critical value. (Round your answer to 2 decimal places.) b. 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.)
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 six students who took the course in the normal lecture format. The other group of eight students took the course in a distance 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 |
| 39 | 42 |
| 35 | 36 |
| 45 | 48 |
| 35 | 46 |
| 49 | 43 |
| 33 | 45 |
| 42 | |
| 46 | |
Required:
a-1. Complete the ANOVA table. (Round your SS, MS, and F values to 2 decimal places and p-value, F crit to 4 decimal places.)
|
a-2. Use a α = 0.05 level of significance, compute the critical value. (Round your answer to 2 decimal places.)
b. 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.)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
I asked this question and unfortunately the test statistic of -0.318 was wrong can you please help by recalculating?
by Bartleby Expert
