A Federal Politician Wants to Investigate the Difference in Average

question 58

Essay

A federal politician wants to investigate the difference in average weekly losses of workers due to accidents between South Australia (SA) and Western Australia (WA). The following table shows the average weekly losses of worker hours due to accidents in 2012 at five randomly selected manufacturing firms in each of SA and WA. $$\begin{array} { | c | c | } \hline \text { SA } & \text { WA } \\\hline 35 & 39 \\\hline 73 & 83 \\\hline 55 & 34 \\\hline 125 & 98 \\\hline 33 & 42 \\\hline\end{array}$$ Assume that the weekly losses of worker hours are normally distributed.
Is there a significant difference between the average weekly losses of workers hours due to accidents between SA and WA?
Test at the 5% significance level.
(Hint: Perform an F-test for one-way ANOVA to determine whether the population means differ.)

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Definitions:

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