Two Machines Are Being Considered to Weigh Luggage at an Airport.A

Essay

Two machines are being considered to weigh luggage at an airport.A standard 30 kg weight is used to test the machines.Sample weigh-ins were taken from each machine and the following results were obtained. $$\begin{array} { l c c } & \text { Machine 1 } & \text { Machine 2 } \\\hline \text { Sample size } & 25 & 36 \\\text { Sample mean } & 31.8 \mathrm {~kg} & 30.9 \mathrm {~kg} \\\text { Sample SD } & 2.2 \mathrm {~kg} & 1.98 \mathrm {~kg} \\\hline\end{array}$$ At the 0.02 level of significance,test the claim that the population mean for Machine 1 is different from the population mean for Machine 2.Carry out the test assuming the population variances are equal.