A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected,
and the diameter is measured. The resulting data (in millimeters) are as follows:
8.24
8.25
8.20
8.23
8.24
8.21
8.26
8.26
8.20
8.25
8.23
8.23
8.19
8.28
8.24
(a) Check the assumption of normality for rod diameter.
(b) Calculate a 95% two-sided confidence interval on mean rod diameter.
(c) Calculate a 95% upper confidence bound on the mean. Compare this bound with the upper bound of the two-sided confidence interval and discuss why they are different.