Matt Bought 3 Pounds of Oranges and 2 Pounds of Apples

question 14

Multiple Choice

Matt bought 3 pounds of oranges and 2 pounds of apples and paid $\$ 3.94$ , before tax. Andy bought 4 pounds of oranges and 3 pounds of apples and paid $\$ 5.53$ , before tax. Use this information to set up a matrix equation of the form $\mathrm { AX } = \mathrm { B }$ , which can be solved to determine the price per pound for oranges and apples. Solve this matrix equation to find the price per pound of apples.
Use the fact that for $\mathrm { A } = \left[ \begin{array} { l l } 3 & 2 \\ 4 & 3 \end{array} \right] , \mathrm { A } ^ { - 1 } = \left[ \begin{array} { r r } 3 & - 2 \\ - 4 & 3 \end{array} \right]$ .

• A) $0.83 per pound
• B) $0.74 per pound
• C) $0.80 per pound
• D) $0.87 per pound

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Definitions:

Wilcoxon Rank Sum Test

A nonparametric test used to determine whether two independent samples come from the same distribution.

Significance

In statistics, refers to how likely it is that a relationship observed in data would occur simply by chance.

Basal Metabolism

The rate at which the body uses energy while at rest to maintain vital functions such as breathing and keeping warm; the minimum amount of energy consumed in a resting state.

Nonparametric Methods

Statistical techniques that do not assume a specific distribution for the data, often used when data do not meet the assumptions of parametric tests.