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

Let d=(number of sit-ups that can be done after taking thecourse)−(number of sit-ups that can be done prior to taking thecourse). Use a significance level of α=0.1 for the test. Assumethat the numbers of sit-ups are normally distributed for thepopulation both before and after taking the fitness course.

Sit-ups before 28 48 25 41 23 25 45 21 37 29

Sit-ups after 40 54 43 55 34 42 52 30 49 43

Step 1 of 5 : State the null and alternative hypotheses for thetest.

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

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

Step 4 of 5: Find the p-value for the hypothesis test. Roundyour answer to four decimal places.

Step 5 of 5: Draw a conclusion for the hypothesis test.