Problem #1: Coke and Pepsi are the two most popular colas on the market. Do consumers prefer either one of the two brands of cola over the other? We conduct a matched pairs experiment as follows: 15 volunteers participate in a blind taste test. Each volunteer tastes both Coke and Pepsi (in random order) and scores the taste of each cola on a scale from 0 to 100. Some information that may be helpful is shown in the table below: Scores for Coke mean = 76.2 sd = 27 Scores for Pepsi Difference (d = Coke - Pepsi) mean = 80.3 mean -4.1 sd = 23 sd = 7.7 (a) Which of the following statements are true? (i) The scores for Coke and Pepsi for each individual are dependent. (ii) In order to conduct the matched pairs -test, we must assume the scores for Coke and the scores for Pepsi both follow t-distributions. (iii) In order to conduct the matched pairs t-test, we must assume that the differences in scores (Coke- Pepsi) follow a normal distribution. (A) (ii) and (iii) only (B) (i) and (iii) only (C) (i) and (ii) only (D) all of them (E) (i) only (F) none of them (G) (iii) only (H) (ii) only Problem #1(a): Select ↑ Part (a) choices. (b) What are the hypotheses for the appropriate test of significance? (A) Ho Hd = 0 vs Haμd <0 (B) Hod = 0 vs Had 0 (C) Hoμd = 0 vs Ha:µd > 0 (D) Ho: xd = 0 vs Ha: xd <0 (E) Hoμc = μp vs Нa: μc up (H) Ho: Xd=0 vs Ha: xd > 0 Problem #1(b): Select ↑ Part (b) choices.