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Quality Control on a Machine Filling Pepsi Cans

You are doing quality control on a machine filling Pepsi cans. The machine is supposed to fill the cans with 355 ml. If the machine is underfilling, Pepsi could be guilty of false advertising. If it is overfilling, Pepsi could be wasting product. You randomly sample 150 cans filled by the machine and find they have an average volume of 354.3 ml with a variance of 1.44 ml. Using a 5% significance level, you decide to test if the machine is not filling the cans to the correct amount. Which of the following is true about the variance of 1.44?

Answer:

The symbol for this would be “s2” and the test statistic uses “s”, so we need to square root the variance before plugging it in.

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