A Consultant for a Beer Company Wanted to Determine Whether

question 39

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

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Definitions:

Local Environment

The immediate physical and biological surroundings of an organism, influencing its growth and development.

Change

Change refers to the process of becoming different in some particular way, without permanently losing one's or its former characteristics or essence.

Keystone Species

An essential species in an ecosystem that plays a key role in maintaining the balance, wherein its elimination would cause dramatic shifts in the ecosystem's dynamics.

Nutrient Cycling

The movement and exchange of organic and inorganic matter back into the production of living matter.