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...

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.