Assume all data is normally distributed unless otherwise stated. Please show all steps of the work.
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 at the 0.01 level of significance,
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