Joan has just moved into a new apartment and wants to purchase a new couch. To determine if there is a difference between the average prices of couches at two different stores, she collects the following data. Test the hypothesis that there is no difference in the average price. Use $\alpha = 0.05$.
$\begin{array}{ll}
\hline \text { Store 1 } & \text { Store 2 } \
\hline \bar{X}_{1}=\$ 650 & \bar{X}_{2}=\$ 680 \
\sigma_{1}=\$ 43 & \sigma_{2}=\$ 52 \
n_{1}=42 & n_{2}=45
\end{array}$

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The Answer of Joan has just moved into a new apartment and wants to purchase a new couch. To determine if there is a difference between the average prices of couches at two different stores, she collects the following data. Test the hypothesis that there is no difference in the average price. Use $\alpha = 0.05$.
$\begin{array}{ll}
\hline \text { Store 1 } & \text { Store 2 } \
\hline \bar{X}_{1}=\$ 650 & \bar{X}_{2}=\$ 680 \
\sigma_{1}=\$ 43 & \sigma_{2}=\$ 52 \
n_{1}=42 & n_{2}=45
\end{array}$

Joan Has Just Moved into a New Apartment and Wants α=0.05\alpha = 0.05α=0.05

Joan Has Just Moved into a New Apartment and Wants $\alpha = 0.05$