In: Statistics and Probability
MaxFlight produces golf balls with a mean driving distance of 295 yards. Its quality control program involves taking periodic samples of 50 golf balls to monitor the manufacturing process.
Quality assurance procedures call for the continuation of the process if the sample results are consistent with the assumption that the mean driving distance for the population of golf balls is 295 yards; otherwise the process will be adjusted.
Assume that a sample of 50 golf balls provided a sample mean of 293 yards. The population standard deviation is believed to be 12 yards.
Perform a hypothesis test, at the .01 level of significance, to help determine whether the ball manufacturing process should continue operating or be stopped and corrected.