Chapter 7 Homework 1. Rebounding. Is a basketball player's ability to make free throws different when they get their own rebound or when someone else gets their rebound for them? This is what student researchers wanted to explore. The researchers used students (20 females and 20 males) taking a college physical education class as their subjects. The students each attempted 10 shots from the free throw line where they had to get their own rebound and 10 shots where someone else got their rebound and passed the ball back to them while they stayed on the free throw line. They randomly determined the order that they took these shots, with some getting their own rebounds rst and some having someone else get the rebounds rst. Assume that the sample distributions are not strongly skewed. The students found the following results for the number of baskets made. Rebounded Self-rebounded l. ( 1 pts) Is this an independent group study or a paired study? 2. (1 pts) Is this an observational study or an experiment? 3. (1 pts) What are the observational/experimentall units? 4. (4 pts) Identify the explanatory variable and the response variable. Also, identify them as categorical or quantitative. 5. (6 pts) Describe the longrun mean difference in words and give them symbols. 6. (4 pts) Write the null hypothesis and the alternative hypothesis in symbols. 7. (2 pts) What is the value of the statistic? 8. (3 pts) Can we use theory-based approach for this study? Explain. 9. (6 pts) Calculate the t statistic. Show all your work. 10. (2 pts) Based on the t-statistic, do you have strong evidence against the null hypothesis? Explain. 11. (5 pts) Calculate the 95% condence interval. Show all your work