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.
-How much evidence do we have to reject the null hypothesis?
A)No evidence
B)Some evidence
C)Strong evidence
D)Very strong evidence
E)Extremely strong evidence

Question

Quizplus · Accepted Answer

The sample mean is 19.7mL, which is less than the labelled amount of 20mL. The sample standard deviation is 0.3mL, which is small. This suggests that the population mean is likely to be less than 20mL. The p-value for the test is 0.02, which is less than 0.05. This means that there is strong evidence to reject the null hypothesis and conclude that the mean number of millilitres of the product differs from the labelled amount of 20mL.

In a Bottling Process, a Manufacturer Will Lose Money If