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=0.05α=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 2222 2020 3434 3939 4848 2020 2626 3535 3939 2323 Sit-ups after 3232 3333 4747 5050 5252 3131 3131 4747 5151 3939 Copy Data 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=0.05α=0.05 for the test. Assume that the numbers of sit-ups are
| Sit-ups before | 2222 | 2020 | 3434 | 3939 | 4848 | 2020 | 2626 | 3535 | 3939 | 2323 |
|---|---|---|---|---|---|---|---|---|---|---|
| Sit-ups after | 3232 | 3333 | 4747 | 5050 | 5252 | 3131 | 3131 | 4747 | 5151 | 3939 |
Copy Data
Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 7 images
