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:

Proficient

Having a high degree of skill or competence in a particular activity or field.

Collectivist Cultures

Societies that prioritize the needs and goals of the group over the desires and ambitions of the individual.

Individualistic Cultures

Societies where personal achievements and independence are highly valued, and social behavior tends to prioritize the individual over the group.

Self-critical

Having a tendency to engage in critical examination and evaluation of oneself, often focusing on one's flaws and shortcomings.