1 Judith, the village postmistress, believes that, since moving the post office counter into the local pharmacy, the mean daily number of customers that she serves has increased from 79.
In order to investigate her belief, she counts the number of customers that she serves on 12 randomly selected days, with the following results.
$$\begin{array} { l l l l l l l l l l l l }
88 & 81 & 84 & 89 & 90 & 77 & 72 & 80 & 82 & 81 & 75 & 85
\end{array}$$
Stating a necessary distributional assumption, test Judith's belief at the 5\% level of significance.
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