Question: In a study comparing the age of death for left- and right-handed baseball players, Coren and Halpern provided the following information: "Mean age of death for strong right-handers was 64.64 years (s = 15.5; 17 = 1472); mean age of death for strong left-handers was 63.97 years (s = 15.4; n = 236)." The term "strong-handers" applies to baseball players who both threw and batted with the same hand.

a. Compute a 95% confidence interval for the mean age of death for the population of strong right-handers from which this sample was drawn.

b. Repeat part (a) for the strong left-handers.

c. Compare the results from parts (a) and (b) in two ways: First, explain why one confidence interval is substantially wider than the other. Second, explain whether you would conclude that there is a difference in the mean ages of death for left- and right-handers on the basis of these results.