A Marketing Consultant Is Studying the Perceptions of Married Couples

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?