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

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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.  Machine 1  Machine 2  Sample size 2536 Sample mean 31.8 kg30.9 kg Sample SD 2.2 kg1.98 kg\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} df = 48.
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.


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