You've collected samples of 12 oz. cups of coffee from both Starbucks and Dunkin Donuts. Assume the caffeine content in coffee is normally distributed in the population. Here is the caffeine content in each cup (in mg): Mean SD Dunkin Donuts Starbucks 120 134 127 119 135 132 128 127.86 6.41 110 105 101 113 103 105 101 105.43 4.54 1. You wish to determine if there is a difference between the two coffee makers in their caffeine content. Perform the appropriate test to answer this question. Use a t-critical of 2.447. 2. Estimate the 95% confidence interval for the difference in the amount of caffeine between Dunkin Donut coffee and a Starbucks Coffee. What does the 95% confidence interval tell us about the difference in caffeine? Use a t-critical of 2.447.