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A Statistician Employed by a Television Rating Service Wanted to Determine

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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?  Henley Beach  West Lakes Shore  Glenelg 253023253318184021152920273610\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}


Definitions:

Uterine Tubes

Also known as Fallopian tubes, these are the tubes through which eggs travel from the ovaries to the uterus, and where fertilization typically occurs.

Oocyte

A female gametocyte or germ cell involved in reproduction; an immature ovum.

Meiosis

A type of cell division that reduces the genetic material by half, producing four gamete cells, each with unique genetic information.

Somatic Cells

Any cell of a living organism other than the reproductive cells.

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