Answer
$k\gt critical~value$: null hypothesis is not rejected.
There is not enough evidence to conclude that the teachers in the district are paid less than the average teacher in the state.
Work Step by Step
$H_0:~M=57,283$ versus $H_1:~M\lt57,283$
$number~of~plus~signs=4$
$number~of~minus~signs=8$
$n=4+8=12$ (small sample)
$Critical~value=2$
(According to table XI, for $n=12$ and $α=0.05$ (one tail))
Left-tailed test:
$k=number~of~plus~signs=4$
Since $k\gt critical~value$, we do not reject the null hypothesis.
