Chapter 9, Problem 92CRE

Weights of Hockey and Baseball Players Data were collected on the weights of random samples of professional hockey players and professional baseball players. (Source: NHL.com, MLB.com)

Summary statistics:

a. Using these descriptive statistics, can a two sample $t\text{-test}$ be used to determine if there is a difference in the mean weights of professional hockey and baseball players? If so, do the test using a significance level of $0.05$. If not, explain why the test cannot be done given the information provided.

b. Construct a $95\%$ confidence interval for the difference in the mean weights of professional hockey and baseball players. Based on your confidence interval, is there a difference in the weights of players in these two sports? Explain.