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? $$\begin{array} { | c | c | c | }
\hline \begin{array} { c }
\text { Beer } \
\text { drinker }
\end{array} & \begin{array} { c }
\text { Typical weekly } \
\text { consumption }
\end{array} & \text { Rating } \
\hline 1 & 4 & 6 \
\hline 2 & 3 & 6 \
\hline 3 & 12 & 9 \
\hline 4 & 15 & 8 \
\hline 5 & 7 & 8 \
\hline 6 & 9 & 6 \
\hline 7 & 1 & 5 \
\hline 8 & 10 & 8 \
\hline
\end{array}$$

Question

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? $$\begin{array} { | c | c | c | } 
\hline \begin{array} { c } 
\text { Beer } \
\text { drinker }
\end{array} & \begin{array} { c } 
\text { Typical weekly } \
\text { consumption }
\end{array} & \text { Rating } \
\hline 1 & 4 & 6 \
\hline 2 & 3 & 6 \
\hline 3 & 12 & 9 \
\hline 4 & 15 & 8 \
\hline 5 & 7 & 8 \
\hline 6 & 9 & 6 \
\hline 7 & 1 & 5 \
\hline 8 & 10 & 8 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The Answer of 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? $$\begin{array} { | c | c | c | } 
\hline \begin{array} { c } 
\text { Beer } \
\text { drinker }
\end{array} & \begin{array} { c } 
\text { Typical weekly } \
\text { consumption }
\end{array} & \text { Rating } \
\hline 1 & 4 & 6 \
\hline 2 & 3 & 6 \
\hline 3 & 12 & 9 \
\hline 4 & 15 & 8 \
\hline 5 & 7 & 8 \
\hline 6 & 9 & 6 \
\hline 7 & 1 & 5 \
\hline 8 & 10 & 8 \
\hline
\end{array}$$

A Consultant for a Beer Company Wanted to Determine Whether