42 42 23 32 30 42 25 47 35 38 Sit-ups after 57 48 29 41 36 57 40 51 41 40 Step 2 of 5 : Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
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 for the test. Assume that the numbers of sit-ups are
| Sit-ups before | 42 | 42 | 23 | 32 | 30 | 42 | 25 | 47 | 35 | 38 |
|---|---|---|---|---|---|---|---|---|---|---|
| Sit-ups after | 57 | 48 | 29 | 41 | 36 | 57 | 40 | 51 | 41 | 40 |
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