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A Local Charity Believes They Receive More Money from People α=0.01\alpha = 0.01

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A local charity believes they receive more money from people in the River Heights neighborhood than from people in the Lakeview neighborhood. They conducted a survey of 24 people randomly selected form each neighborhood and recorded the results. At α=0.01\alpha = 0.01 , is their hypothesis correct?
 River Heights  Lakeview Xˉ1=$35 /person Xˉ2=$25/ person s1=$5/ person s2=$8/ person n1=24n2=24\begin{array}{cc}\hline \text { River Heights } & \text { Lakeview } \\\hline \bar{X}_{1}=\$ 35 \text { /person } & \bar{X}_{2}=\$ 25 / \text { person } \\s_{1}=\$ 5 / \text { person } & s_{2}=\$ 8 / \text { person } \\n_{1}=24 & n_{2}=24\end{array}

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