A Marketing Consultant Is Studying the Perceptions of Married Couples

question 34

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:

Manic Episodes

Periods of abnormally elevated mood, energy, and activity levels, typically seen in bipolar disorder, often resulting in impulsive behavior.

Rapid Cycling

In the context of bipolar disorder, it refers to having four or more mood episode changes from mania, hypomania, to depression within a twelve-month period.

Major Depression

A mental disorder characterized by persistent sadness, lack of interest in activities, and other symptoms that impair daily functioning.

Cognitive Distortion

Irrational, faulty thinking patterns that contribute to emotional distress and mental health disorders.