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A Local Company Is Concerned About the Number of Days

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A local company is concerned about the number of days missed by its employees due to illness. A randomsample of 10 employees is selected. The number of days absent in one year is listed below. An incentiveprogram is offered in an attempt to decrease the number of days absent. The number of days absent in one yearafter the incentive program is listed below. Test the claim that the incentive program cuts down on the numberof days missed by employees. Use α = 0.05. Assume that the distribution is normally distributed.  Employee ABCDEFGHIJ Days absent before  incentive 3872942075 Days absent after  incentive 1770820155\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \text { Employee } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } & \mathrm { F } & \mathrm { G } & \mathrm { H } & \mathrm { I } & \mathrm { J } \\\hline \begin{array} { l } \text { Days absent before } \\\text { incentive }\end{array} & 3 & 8 & 7 & 2 & 9 & 4 & 2 & 0 & 7 & 5 \\\hline \begin{array} { l } \text { Days absent after } \\\text { incentive }\end{array} & 1 & 7 & 7 & 0 & 8 & 2 & 0 & 1 & 5 & 5\end{array}

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