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

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Definitions:

Hydrogen Atoms

The simplest atoms consisting of one proton and one electron, fundamental in the composition of water and organic compounds.

Haloalkane

An organic compound in which one or more halogen atoms (fluorine, chlorine, bromine, or iodine) are bonded to the carbon atoms of an alkane.

Alkane Name

A term used to specify the structured naming system for alkanes, characterized by the suffix "-ane" and a prefix denoting the number of carbon atoms.

Alkane Name

The nomenclature for saturated hydrocarbons, following the IUPAC system based on the number of carbon atoms.