Chapter 9, Problem 91CRE

Ales vs. Lagers Data were collected on calorie content for a random sample of ales and lagers and are summarized in the table. Assume the conditions for using a $t\text{-test}$ are satisfied. (Source: efficientdrinker.com)

Summary statistics for Calories:

Where: Type $=$ “L” or Type $=$ “A”

Group by: Type

a. If we wanted to use a hypothesis test to determine if there is a difference in the calorie content of ales and IPAs, would we use a paired $t\text{-test}$ or a two-sample $t\text{-test}$ ? Explain.

b. Construct a $95\%$ confidence interval for the difference in the mean calorie content of ales and lagers. Assume that the populations are approximately Normal. Based on your confidence interval, is there a difference in the mean calorie content for ales and lagers? Explain.