textbook exercise
How can I calculate P-value at a test of $$H_0: u=3.2$$ against $$H_1: u \neq 3.2$$ if we have the observations $2.0$, $3.2$, $3.8$, $2.5$, $3.3$, $2.8$, $3.0$ and $3.4$ which is a sample from $N(u,o^2$), there $u$ and $o^2$ are espected value respectively variance.
I have calculated the confidence interval to $$I_u=(2.58,3.42)$$ rejection region to $$C=(|T|\geq1.96)$$ where $$T=\frac{u^*-u_0}{\frac{o}{n^{1/2}}}$$ $u^*$=$m$=mean value of the observations.
EDIT: