Question 1E3 points] An experimenter would like to assess statistically if in a random taste test more people would rate coke higher than pepsi on a scale of 1 to 1D. A sample of 1? people are chosen and the testis administered. The experimenter decided to use a paired ttest in the case. The best reason for this decision is because (":j. the same people are tasting both drinks ("3. the sample size is the same in both groups If\") the sample size is small (":j. the combined sample size is larger than 30 Question 2 [3 points] An experimenter would like to assess statistically if in a random taste test more people would rate coke higher than pepsi on a scale of 1 to 10. A sample of 1? people are chosen and the test is administered. The experimenter decided to use a paired ttest in the case. What assumption needs to hold for this test to be 1.ralid ("'j the differences come From a normal distribution (Ff. both samples come from normal distributions If\") neither sample comes from normal distributions ("'3 at least one sample comes from a normal distribution Question 3 (3 points) An experimenter would like to assess statistically if in a random taste test more people would rate coke higher than pepsi on a scale of 1 to 10. A sample of 17 people are chosen and the test is administered. The experimenter decided to use a paired t-test in the case. Using the results below and the fact that the alternative hypothesis is: HA : HC > UP make your decision Paired I for Coke - Pepsi N Mean StDev SE Mean Difference 17 5.269 3.269 0.793 904 lower bound for mean difference: 3.885 T-Value = 6. 65 P-Value = 0.0004 (reject the null hypothesis since 0.0004>0.10 O reject the null hypothesis since 0.00040.05 Question 4 (3 points) An experimenter would like to assess statistically if in a random taste test more people would rate coke higher than pepsi on a scale of 1 to 10. A sample of 17 people are chosen and the test is administered. The experimenter decided to use a paired t-test in the case. the real-world answer is )On average all that we can conclude is that there is a difference between them )On average, people rate pepsi and coke the same )On average, people rate pepsi higher than coke )On average, people rate coke higher than pepsi