A Consultant for a Beer Company Wanted to Determine Whether

question 41

Essay

A consultant for a beer company wanted to determine whether those who drink a lot of beer actually enjoy the taste more than those who drink moderately or rarely. She took a random sample of eight men and asked each how many beers they typically drink per week. She also asked them to rate their favourite brand of beer on a 10-point scale (1 = bad, 10 = excellent). The results are shown below. Can we infer at the 5% significance level that frequent beer drinkers rate their favourite beer more highly than less frequent drinkers? $$\begin{array} { | c | c | c | } \hline \begin{array} { c } \text { Beer } \\\text { drinker }\end{array} & \begin{array} { c } \text { Typical weekly } \\\text { consumption }\end{array} & \text { Rating } \\\hline 1 & 4 & 6 \\\hline 2 & 3 & 6 \\\hline 3 & 12 & 9 \\\hline 4 & 15 & 8 \\\hline 5 & 7 & 8 \\\hline 6 & 9 & 6 \\\hline 7 & 1 & 5 \\\hline 8 & 10 & 8 \\\hline\end{array}$$