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(Solution Library) 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,

Question: 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 randomly selected participants scored as shown in the table given below. Let \[{{\mu }_{1}}\] = population number of sit-ups done before the physical fitness course, and let \[{{\mu }_{2}}\] = population number of sit-ups done after the physical fitness course. At = 0.01 , test the claim that a significant amount of improvement took place. Assume that the distribution is normally distributed.

Participant 1 2 3 4 5 6 7 8 9 10
Sit-ups before 29 22 25 29 26 24 31 46 34 28
Sit-ups after 30 26 25 35 33 36 32 54 50 43

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