Reference no: EM132414164

Problem Statistical Process Control

Powerade® advertises a volume of 32 fluid ounces for a few of its product lines. Suppose that the process manager at a certain Powerade® facility takes a sample of 25 bottles once a week to see if the correct volume is being produced, and based on historical data, the population standard deviation is 0.1 oz. Use this information to answer the following questions.

Problem 1. First, which of the main problem types is this, i.e.which set of formulas is most appropriate for this problem

Problem 2. Define appropriate null and alternative hypotheses regarding the weekly 32-oz Powerade® sample.

Problem 3. If the advertised quantity of 32 fluid ounces is the true value of the population, what is the probability that the manager's 25-bottle sample will provide a sample mean within ±0.04 fluid ounces of the advertised quantity?

Problem 4. Suppose that the new manager's sample has an average of 31.5 oz. Compute the 95% confidence interval for the population mean.

Problem 5. Based on the confidence interval you calculated in Problem 4, does the process appear to have shifted, or is it still producing 32-oz sport drinks?