Suppose your group would like to do a research about the quality of sleeping on doing exercises,

and you believe that the quality of sleeping will significantly be improved if a person has regular

exercises habit. A study is conducted of a random sample of 16 participants who has not been

exercised for more than 40 days. The duration for the study is 25 days, and each participant needs

to do exercise 30 minutes every day. During the 36 days, the average total sleeping hours increased

10 minutes, with the standard deviation is 8. Could we conclude that the quality of sleeping is

significantly affected by doing exercises?