Question: Fuel Consumption and Cars The durability and flatness of the front rotors on an automobile are important for braking and for a smooth ride. The flatness of a rotor can be determined by a special optical measuring device that measures the largest deviation from perfect flatness in microinches. Suppose independent random samples of rotors from two different manufacturers were obtained. The largest deviation from perfect flatness of each rotor was measured, and the resulting summary statistics are given in the following table.
Assume the underlying distributions are normal and the population variances are equal.
a. Is there any evidence to suggest that there is a difference in population mean deviations from perfect flatness for these two rotor brands? Use a = 0.05.
b. Find bounds on the p value associated with this hypothesis test.