Question

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=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course) d = (number of sit-ups that can be done after taking the course) − (number of sit-ups that can be done prior to taking the course) . Use a significance level of α=0.05 α = 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 before 36 36 49 49 44 44 22 22 44 44 40 40 48 48 28 28 46 46 27 27 Sit-ups after 53 53 59 59 59 59 32 32 47 47 49 49 51 51 41 41 50 50 41 41 Copy Data Step 1 of 5 : State the null and alternative hypotheses for the test.

Step 2 of 5:Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Step 3 of 5:Compute the value of the test statistic. Round your answer to three decimal places

Step 4 of 5:Determine the decision rule for rejecting the null hypothesis H 0   . Round the numerical portion of your answer to three decimal places.

Step 5 of 5: Make the decision for the hypothesis test. (accept or reject null)

Answer 1