Chapter 7, Problem 7.8P

$\boxed{SOC}$ A school system has assigned several hundred "chronic and severe underachievers” to an alternative educational experience. To assess the program, a random sample of 35 has been selected for comparison with all students in the system.

a. In terms of GPA, did the program work?

Systemwide GPA	Program GPA
$\mu =2.47$	$\begin{array}{l}\bar{X}=2.55\\ s=0.70\\ N=35\end{array}$

b. In terms of absenteeism (number of days missed per year), what can be said about the success of the program?

Systemwide	Program
$\mu =6.137$	$\begin{array}{l}\bar{X}=4.78\\ s=1.11\\ N=35\end{array}$

c. In terms of standardized test scores in math and reading, was the program successful?

Math Test--Systemwide	Math Test--Program
$\mu =103$	$\begin{array}{l}\bar{X}=106\\ s=2.0\\ N=35\end{array}$

Reading Test--Systemwide	Reading Test--Program
$\mu =110$	$\begin{array}{l}\bar{X}=113\\ s=2.0\\ N=35\end{array}$

(HINT. Note the wording of the research questions. Is a one-tailed test justified? Is the program a success if the students in the program are no different from students systemwide? What if the program students were performing at lower levels? If a one tailed test is used, what form should the research hypothesis take? Where will the critical region begin?)