Chapter 9, Problem 66SE

College Athletes’ Weights In exercise $9.64$, you could reject the null hypothesis that the mean weights of soccer and baseball players were equal using a two-tailed test with a significance level of $0.05$.

If you found a $95\%$ confidence interval for the difference between means, would it capture 0? Explain.

If you found a $90\%$ interval, would it capture 0? Explain.

Now go back to exercise $9.64$. Find a $95\%$ confidence interval for the difference between means, and explain what it shows.