1. The following data contain three scores fromeach of five subjects. The three scores per subject are their scores on three trials of a memory task. Subject Score trial 1 Score trial 2 Score trial 3 A 4 C 2 8 Compute an ANOVA Test all pairwise differences between means using the Tukey test at the .01 level. 2. Students were treated with different drug before revising for their exams. Some were given a memory drug, some a placebo drug and some no treatment. The exam scores (%) are shown below for the three groups. Memory drug Placebo No treatment 70 37 3 77 43 10 83 50 17 90 57 23 97 6.3 30 Mean 83.4 50.0 16.6 Variance 112.3 109.0 112.3 Grand mean 50.0 Grand variance 892.14 a. Perform a one-way ANOVA by hand to test the hypothesis that the treatments will have different effects. b. Do the pairwise comparisons using Tukey method. 3. A scientist was interested in how monkeys learn to perform a task. The task was to retrieve a coconut from the opposite side of a river. 15 wild monkeys were assigned to one of three conditions: observing a monkey (they watched another monkey retrieve the coconut by building across the stream), observing a human (they watched a human solve the task), banana reward (they were allowed to do what they wanted but every time they engaged in behaviour that facilitated solving the task they were rewarded with a banana. After learning the monkeys were required to solve the problem again and the time taken to solve the problem was measured. Memory drug Placebo No treatment 1 15 1 15 8 1 13 13 8 13 13 9 11.0 Mean 7.0 8.0 14.5 Variance 36.0 25.0 Grand mean 8.67 Grand variance 24.67 a. Perform a one-way ANOVA by hand to test the hypothesis that the treatments will have different effects. b. Do the pairwise comparisons using Tukey method