If production workers are performing their jobs properly, boxes of powdered detergent produced by your company should contain, on average, 30 ounces of powder, no more and no less. You will periodically select a sample of 36 boxes of detergent and measure the contents. Set up the appropriate hypothesis test to process sample results, using a significance level of 5%. Assume that the filling process has a reliable standard deviation of .3 ounces, regardless of the mean.
a. Suppose you select a sample and it shows a mean of 29.83 ounces per box. What should you conclude? Explain.
b. Suppose you select a sample and it shows a mean of 30.09 ounces per box. What should you conclude? Explain.