Students were given different drug treatments before revising for their exams. Some were given a memory drug, some a placebo drug and some no treatment. The exam score are shown below for the three different groups (five students in each group). Carry out ANOVA to test the hypothesis that θ1 = θ2 = θ3 with level α = 0.05. (The computation doesn’t have to be very accurate but you need to write down the steps. For the F statistic, write down the degree of freedom.) Memory drug Placebo No treatment 70 37 3 77 43 10 83 50 17 90 57 23 97 63 30 Mean 83.4 50.0 16.6 Variance 112.3 109.0 112.3 Grand Mean 50 Grand Variance 892.14
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Students were given different drug treatments before revising for their exams. Some were given a memory drug, some a placebo drug and some no treatment. The exam score are shown below for the three different groups (five students in each group). Carry out ANOVA to test the hypothesis that θ1 = θ2 = θ3 with level α = 0.05. (The computation doesn’t have to be very accurate but you need to write down the steps. For the F statistic, write down the degree of freedom.)
| Memory drug | Placebo | No treatment | |
| 70 | 37 | 3 | |
| 77 | 43 | 10 | |
| 83 | 50 | 17 | |
| 90 | 57 | 23 | |
| 97 | 63 | 30 | |
| Mean | 83.4 | 50.0 | 16.6 |
| Variance | 112.3 | 109.0 | 112.3 |
| Grand Mean | 50 |
| Grand Variance | 892.14 |
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