Discussion:
Q: A machine is adjusted so that when under control, the amount of sugar filled in a bag is normally distributed with a mean amount of 5 pounds. To check if the machine is under control, six bags were picked at random and their weights (in pounds) were found to be as follows:
5.3, 5.1, 4.9, 5.4, 4.9, 5.3
At the 5% level of significance, is there sufficient evidence to conclude that the machine is not under control (the mean amount of sugar is different from 5 pounds)