If a coin-operated drink machine is operating correctly it will discharge cups of soda with a mean of 16 ounces of soda. A representative from the company that operates the drink machine claims the machine has not been working correctly. In a test of the machine, the discharge amounts in 49 randomly chosen cups of soda from the machine were recorded. The recorded amounts had a sample mean of 15.96 ounces and a variance of .0144 ounces. If we assume that the discharge amounts are normally distributed, test the representative's claim using the traditional method of hypothesis testing at the 0.01 level of significance