The number of sit-ups that a person can do in one minute, both before and after a physical fitness course was recorded. The data is shown below for 10 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume variable is normally distributed. Test using = 0.01. (6 pts)
Before 30 23 25 29 27 25 30 45 34 26
After 31 27 25 35 34 35 32 52 50 43
This solution presents the null and alternative hypothesis and calculates the difference between the before and after data as well as the F-statistic. A decision is made to accept or reject the null hypothesis by comparing the F-statistic to the p-value.