A Marketing Consultant Is Studying the Perceptions of Married Couples

question 55

Essay

A marketing consultant is studying the perceptions of married couples concerning their weekly food expenditures. He believes that the husband's perception would be higher than the wife's. To judge his belief, he takes a random sample of 10 married couples and asks each spouse to estimate the family food expenditure (in dollars) during the previous week. The data are shown below. $$\begin{array} { | c | c | c | } \hline \text { Couple } & \text { Husband } & \text { Wife } \\\hline 1 & 380 & 270 \\\hline 2 & 280 & 300 \\\hline 3 & 215 & 185 \\\hline 4 & 350 & 320 \\\hline 5 & 210 & 180 \\\hline 6 & 410 & 390 \\\hline 7 & 250 & 250 \\\hline 8 & 360 & 320 \\\hline 9 & 180 & 170 \\\hline 10 & 400 & 330 \\\hline\end{array}$$ Can the consultant conclude at the 5% significance level that the husband's estimate is higher than the wife's estimate?

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Definitions:

Frontal Lobe

A region of the brain associated with executive functions such as decision making, problem-solving, and controlling behavior.

Corpus Collosum

A large band of neural fibers connecting the two hemispheres of the brain, facilitating interhemispheric communication.

Ventromedial Cortex

A region of the brain involved in emotional responses, decision-making, and the evaluation of rewards and risks.

Frontal Lobe

The part of the brain located at the front of each cerebral hemisphere, responsible for voluntary movement, expressive language, planning, reasoning, and problem-solving.