To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person can do in one minute was recorded both before and after the course. Ten randomly selected participants scored as shown in the table below. Can we conclude at the a = 0.01 significance level that improvement took place? Assume that improvement means the person can do more sit-ups after the course.
Before 28 26 25 30 26 24 31 46 34 28
After 30 27 25 35 31 26 30 50 38 30
Step 1: State hypotheses:
Step 2: State the test statistic.
Step 3: State the critical region(s):
Step 4: Conduct the experiment/study
Step 5: Reach conclusions and state in English:
Step 6: Calculate the associated p-value.