During one semester of a healthy living class taught at Hope College, students measured how flexible they were in terms of inches reached while sitting. Flexibility was measured at the beginning of the semester and again at the end of the semester. We will consider this a representative sample of all students taking this class around this time.

a. In Chapter 6 we carried out a test to see if the posttest flexibility scores were different for males and females. We found that they were. Carry out a test to confirm that pretest flexibility scores are significantly different for males and females as well. (Use FlexibilityPre.)
b. How would you test to see if there was a significant gain in flexibility for all students who might take the class? Describe how this test is different than the tests to compare the pretest flexibility and posttest flexibility between males and females.

c. Now, carry out the six-step method to test if there is an average gain in flexibility for all students taking the healthy living class. (Use Flexibility.)
d. What if you wanted to see whether or not there was a significant difference between males and females as far as their average flexibility gain from this class. Describe what the two variables are that you would use in your analysis and what kind of a test you would use.
e. Carry out the six-step method to test whether or not there is a significant difference in the average flexibility gain between males and females.