For the situation shown below, match each statistic with its appropriate value.
A study was conducted to find out if the salaries of elementary school teachers
were equal to high school teachers. The researcher randomly selected 15 high
school teachers and matched them on years of service to 15 elementary school
teachers. The statistical results are shown below. (Salaries are in \$0,000, the
difference is calculated as (High School - Elementary), and the data values are
distributed normally.) Test the researcher's claim that the salaries are equal using a
significance level of 0.05.
$n$
$\bar{x}$
$s$
High School:
15
50.8
8.58
Elementary:
15
41.8
5.07
Difference:
15
9.0
7.81
$S_e$ +/- 2.145
$S_e$ +4.46
$S_e$ 0.02
$S_e$ Reject H(0).
A. The critical value
B. The $p$-value
C. The conclusion.
D. The test statistic