In a bottling process, a manufacturer will lose money if the bottles contain either more or less than is claimed on the label. Suppose a quality manager is interested in testing whether the mean number of millilitres (mL) of the product differs from the labelled amount of 20mL. The manager samples nine bottles and finds the sample mean is 19.7mL and the sample standard deviation is 0.3mL. Assume measurements are normally distributed.
-The null and alternative hypotheses to test the quality manager's claim is _____.

Question

Quizplus · Accepted Answer

The correct hypothesis test for determining if the mean differs from the labeled amount is a two-tailed test, where the null hypothesis is that the mean is equal to the labeled amount (20 mL), and the alternative hypothesis is that the mean is not equal to the labeled amount.

In a Bottling Process, a Manufacturer Will Lose Money If