The cross-country coach believes she developed a new workout regime to significantly reduce her athletes' 2-mile time. She randomly selects 50 of her athletes to switch to the new workout. She records their 2-mile time at the start and then has them follow the new workout regime for 3 months. After three months she records their 2-mile time again. Did the new work out approach make a difference between the two groups (level of risk at .05)?

1. A.State the null hypothesis.

2..What is the appropriate statistical test?

3.What are the degrees of freedom?

4.If the critical value is 2.03, what conclusion would you give the coach if the obtained value was 2.75?