Classical Hypothesis and P-value Methods

A new machine was used to pack coffee powder. A random sample of \(5\) packets was taken and the mass of each packet was measured to the nearest gram and recorded:

\(199, 199, 200, 200, 202\)

Assuming that the mass of a packet follows a normal distribution with mean \(199\mathrm{g}\) and population variance \(1.2\mathrm{g}^2\), perform a test at \(6\%\) significance level to test whether there is an increase in the mean mass of the packets.