(Ch12-prob set-Q7) Please answer the questions in the image and listed below. In the image, compute to find the numerical values. (1) the F ratio for this study can be written as (select one): "variance due to both chance and caffeine" or variance due to chance"/"variance due to both chance and caffeine" or "variance due to chance". (2) **PLEASE SHOW THE F RATIO WITH COMPUTED NUMERICAL VALUES**(3) at the a=0.01 level of significance do you reject the null hypothesis? If so, why?

Paragraph Styles 7. nypuutests tesuny wir AnUVA Opinions about whether caffeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students' test-taking abilities. You choose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a different caffeine concentration, such that there are seven students assigned to each drink. You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have them take an arithmetic test 15 minutes later. The students receive the following arithmetic test scores: Water Coffee Espresso Caffeine Content (mg/oz) 0 13.4 51.3 78 92 83 EX2 = 142,493 83 G = 1,723 72 80 76 N = 21 72 89 79 k = 3 64 96 86 81 83 79 82 92 81 Ti = 537 T2 = 619 T3 = 567 SST = 381.43 SS2 - 185.71 SSa = 66 n1 = 7 n2 = 7 n3 = 7 M1 = 76.7143 M2 = 88.4286 M3 = 81.0000 Calculate the degrees of freedom and the variances for the following ANOVA table Source SS df MS Between Within 633.14 Total 1,124.95