A Statistician Employed by a Television Rating Service Wanted to Determine

Essay

A statistician employed by a television rating service wanted to determine whether there were differences in television viewing habits among three residential areas in South Australia. He took a random sample of five adults in each of the areas and asked each to report the number of hours spent watching television in the previous week. From the data shown below, can he infer at the 5% level of significance that differences in hours of television watching exist among the three residential areas? $$\begin{array} { | c | c | c | } \hline \text { Henley Beach } & \text { West Lakes Shore } & \text { Glenelg } \\\hline 25 & 30 & 23 \\\hline 25 & 33 & 18 \\\hline 18 & 40 & 21 \\\hline 15 & 29 & 20 \\\hline 27 & 36 & 10 \\\hline\end{array}$$