Hoping to improve the functionality of their all-weather tires, a company that manufactures truck tires has worked to develop a new tread pattern. Several tests were conducted on trucks of approximately the same weight travelling at 65 mph. The tests showed that the new tread pattern enabled the trucks to stop completely in an average distance of 138 feet with a standard deviation of 5.2 feet. Suppose the company chooses a random sample of 32 trucks.
a.) Show that the conditions are met for the sampling distribution.
b.) What is the probability that a randomly selected sample of 32 trucks in the study will have a mean stopping distance of no moe than 140 feet? Write the probability statement and show your work!
