Data were collected on the weights of random samples of professional hockey players and professional baseball players.

a. Using these descriptive statistics, can a two sample t-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.

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Summary statistics: Columnn Mean. Variance Std. dev.4 Std. emr. + Median Range+ Min+ Max + Q1+ Q3+ Hockey 40 185.675 231.60962 15.218726 2.40629 18 186.6 67 149 216 176.5 196 Baseball 26 206.92308 582.87385 24.14278 4.7347888 210 85 155 240 185 225