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=0.1α=0.1 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 3434 4444 2020 3333 2323 4949 3131 5050 3939 3434 Sit-ups after 5151 5050 2525 4747 3838 5353 4444 5656 4343 4848 Copy Data Step 4 of 5 : Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to three decimal places.
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=0.1α=0.1 for the test. Assume that the numbers of sit-ups are
| Sit-ups before | 3434 | 4444 | 2020 | 3333 | 2323 | 4949 | 3131 | 5050 | 3939 | 3434 |
|---|---|---|---|---|---|---|---|---|---|---|
| Sit-ups after | 5151 | 5050 | 2525 | 4747 | 3838 | 5353 | 4444 | 5656 | 4343 | 4848 |
Copy Data
Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to three decimal places.
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