Solve the Problem $= \mathrm { x }$ $$X = \text { gpa }$$

Multiple Choice

Solve the problem.
-Consider the following printout. HYPOTHESIS: VARIANCE X $= \mathrm { x }$
$$X = \text { gpa }$$
SAMPLE MEAN OF X $= 2.6919$
SAMPLE VARIANCE OF $X = .19000$
SAMPLE SIZE OF $X = 217$
HYPOTHESIZED VALUE $( \mathrm { x } ) = 2.8$
$$\begin{aligned}\text { VARIANCE } X - x & = - .1081 \\z & = - 3.65324\end{aligned}$$
Suppose we tested $H _ { \mathrm { a } } : \mu < 2.8$ . Find the appropriate rejection region if we used $\alpha = .05$ .

A) Reject if $\mathrm { z } < - 1.645$ .
B) Reject if $\mathrm { z } > 1.96$ or $\mathrm { z } < - 1.96$ .
C) Reject if $z > 1.645$ or $z < - 1.645$ .
D) Reject if $z < - 1.96$ .