Muscle Tech has come up with a new plant-based protein powder and they claim that after taking this protein powder, the athletes will have a quick recovery after each session of workout. In order to verify their claim, a research group randomly selected a sample of 7 athletes. Then they were asked to participate in a customized workout program for 7 days. After each session of workout, they were given 2 scoops of Muscle Tech’s plant-based protein powder. Then they were observed for the time that would take to recover. After a gap of 7 days, those athletes were again asked to take part in a customized workout program for 7 days, and then they were observed for the time to recover without consuming any protein powder. The before and after effect (times in minutes) of consuming that protein is given below: Before 93 98 105 108 103 91 101 After 99 92 105 100 101 100 94 Construct a 98% confidence interval for the mean of the population paired differences where a paired difference is equal to the difference between the time taken before the consumption of protein and the time taken after the consumption of protein.
Muscle Tech has come up with a new plant-based protein powder and they claim that after taking this protein powder, the athletes will have a quick recovery after each session of workout. In order to verify their claim, a research group randomly selected a sample of 7 athletes. Then they were asked to participate in a customized workout program for 7 days. After each session of workout, they were given 2 scoops of Muscle Tech’s plant-based protein powder. Then they were observed for the time that would take to recover. After a gap of 7 days, those athletes were again asked to take part in a customized workout program for 7 days, and then they were observed for the time to recover without consuming any protein powder. The before and after effect (times in minutes) of consuming that protein is given below:
Before 93 98 105 108 103 91 101
After 99 92 105 100 101 100 94
Construct a 98% confidence interval for the mean of the population paired differences where a paired difference is equal to the difference between the time taken before the consumption of protein and the time taken after the consumption of protein.
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