In: Statistics and Probability
2. The results of a taste test between competing soda brands Cola A and Cola B are presented below. Two independent random samples were selected and the respondents rated the colas on a scale of 1 to 10.
Cola A: sample size = 38, sample mean = 7.92, sample standard deviation = 2.9
Cola B: sample size = 45, sample mean = 7.22, sample standard deviation = 1.4
Construct a 95% confidence interval for the difference between the average ratings for Cola A and Cola B. State your conclusion in terms of the problem.