Results from a national physical fitness test indicate the population mean for number of sit-ups in a minute for seven-year-old boys is 28. A small sample recently completed the sit-up test. Here are the results for the sample: 33, 28, 15, 17, 21, 23, 19, 26, 27, 36. Is there evidence that this sample was drawn from a population with a mean different from 28? Complete the seven steps of hypothesis testing for this problem. Complete Step 5 by hand. Be sure to show your work for any calculations. The problem is worth a total of 5 points, 2 points for step 5 and of a point for steps 1-4 and 6-7.

Step 1.

Step 2.

Step 3.

Step 4.

Step 5. t = __________ (attach work)

Step 6. Circle your decision below:

1. Reject H₀
2. Fail to reject H₀

Step 7. Circle your conclusion below:

1. The sample was drawn from a population with a mean less than 28 sit-ups.
2. The sample was drawn from a population with a mean greater than 28 sit-ups.
3. The sample was drawn from a population with a mean of 28 sit-ups.