A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement?

Let d=(numberofsit-upsthatcanbedoneaftertakingthecourse)(numberofsit-upsthatcanbedonepriortotakingthecourse)d=(numberofsit-upsthatcanbedoneaftertakingthecourse)(numberofsit-upsthatcanbedonepriortotakingthecourse) . Use a significance level of =0.05=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course.

Sit-ups before3232 3030 3333 4141 4848 2525 2222 4444 3434 2424 Sit-ups after4141 4141 4545 5858 5151 3535 3939 4848 4747 3636

Copy Data Sit-ups before Sit-ups after 32 41 30 41 33 45 41 58 48 51 25 35 22 39 44 48 34 47 24 36

Step2of5:

Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.