Question

Calculate the 99% confidence interval for question 8. Using the interval estimate, can you reject the null hypothesis in question 8?

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.

Answer 1

We reject the null hypothesis at a given significance level if the corresponding confidence interval does not contain the population parameter (here, in this case, population mean).

We see that the population mean, 295, lies in the confidence interval, so we fail to reject the null hypothesis.