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-test are satisfied.

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-test or a two-sample t-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.

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Summary statistics for Calories: Where: Type = "L" or Type = "A" Group by. Type Type. n. Mean Variance Std. dev.4 Std. emr. + Median Range Min e Max + Q1+ 03 + A 43 173.72093 614.49169 24.788943 3.7802784 165 106 125 231 158 190 L 20 143.9 1248.9368 35.340301 7.9023314 150 136 64 200 119 172