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

question 10

Essay

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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Definitions:

Mm Hg

Millimeters of mercury; a unit of pressure used in various applications, including the measurement of blood pressure.

Foramen Ovale

A fetal structure allowing blood flow between the right and left atria of the heart, which normally closes after birth.

Right Atrium

The right upper chamber of the heart that receives deoxygenated blood from the body and pumps it to the right ventricle.

Left Atrium

One of the four chambers of the heart, receiving oxygenated blood from the lungs and pumping it to the left ventricle.