6 4 un 4 8 9 5 Q4 A contest is held on campus to decide if people like the taste of 3 novel drinks to different degrees. 18 students were selected as representative judges. Each judge tastes one drink and rates it on a scale of 0-10 where a O means disgusting and a Q7 10 means heavenly tasting. Below are the 18 students' ratings of the three drinks. Sprite Coffee 3 5 8 9 3 2 Ginger Coconut Juice 4 5 2 6 Hazelnut Vodka 9 7 5 Q4 Which of the following equations represents the between-group variability? A. (3 - 4.3)2 + (5 - 5.6)2 + ... + (6 - 4.3)2 + (4 - 5.6)2 + ... + (9-4.6)2 + (5 - 4.3)2 B. (3 - 5.5)2 + (5 -5.5)2 + ... + (6 -5,5)2 + (4 - 5.5)2 + ... + (9-5.5)2 + (5 -5.5) C. (5 - 5.5)2 + (5 - 5.5)2 +...+(4.5 -5.5)2 + (4.5 -5.5)2 + ... + (7 -5.5)2 + (7 -5.5)2 D. (3 - 5)2 + (5 - 5)2 + ... +(6-4.5)2 + (4 - 4.5)2 + ... + (9- 7)2 + (5 7,2 Q5 Which of the following equations represents the within-group variability? A. (3 - 4.3)2 + (5 -5.6)2 + ... +6-4.3)2 + (4 - 5.62 +...+(9-4.6)2+(5 - 4.3)2 B. (3 - 5.5)2 + (5 - 5,5)2 +...+( 6-5.5)2 + (4-5.5)2 + ... + (9-5.5)2 + (5 -5.5) C. (5 -5.5)2 + (5 -5.5)2 + ... +(4.5 -5.5)2 + (4.5 - 5,5)2 +...+(7-5,5)2 + (7 - 5.5) D. (3 - 5)2 + (5 - 5)2 + ... + (6 - 4.5)2 + (4 - 4.5)2 + ... + (9- 7) + (5 - 7)? Q. Which of the following equations represents the total variability? A. (3 - 4.3)2+(5-5.6)2 + ... + (6 - 4.3)2 + (4 - 5.6)2+...+(9 - 4.6)2+(5 - 4.3) B. (3-5,5)2 + (5 -5.5)2 + ... + (6 -5.5)2 + (4 - 5,5)2 + ... + (9-5.5)2 + (5 -5.5) C. (5 -5.5)2 + (5 -5.5)2 + ... + (4.5 - 5,5)2 + (4.5 -5.5)2 + ... + (7 - 5.5)2 + (7 - 5.5) D. (3 - 5)2+(5-5)+...+(6-4.5)2 + (4 - 4.5)2 + ... + (9-7)2+(5 - 7) Q7 We have obtained an F value of 2.086 for this study. Based on the F-table, which of the following statement you are likely to conclude? A. People's tastes don't differ among the three drinks. B. People's tastes differ among the three drinks. C. The reception of Hazelnut Vodka significantly differs from Ginger Coconut Juice, but not Sprite Coffee. D. The reception of Sprite Coffee significantly differs from Ginger Coconut Juice, but a post hoc test is needed to decide whether they differ from Hazelnut Vodka