In Order to Examine the Differences in Age of Teachers $\text { Ages of teachers am ong five school districts }$

question 11

Essay

In order to examine the differences in age of teachers among five school districts, an educational statistician took random samples of six teachers' ages in each district. The data are listed below. $\text { Ages of teachers am ong five school districts }$
$\begin{array} { | c | c | c | c | c | } \hline 1 & 2 & 3 & 4 & 5 \\\hline 42 & 23 & 45 & 31 & 37 \\\hline 22 & 52 & 48 & 45 & 40 \\\hline 33 & 32 & 50 & 33 & 45 \\\hline 32 & 44 & 45 & 38 & 61 \\\hline 26 & 39 & 37 & 29 & 50 \\\hline 24 & 33 & 49 & 46 & 50 \\\hline\end{array}$ Assume that ages of teachers are normally distributed.
Test at the 5% significance level to determine whether differences in teachers' ages exist among the five districts.