A Random Sample of 8 Observations from an Approximately Normal $$\begin{array} { l l l l l l l l } 5 & 6 & 4 & 5 & 8 & 6 & 5 & 3\end{array}$$

Essay

A random sample of 8 observations from an approximately normal distribution is shown below.
$$\begin{array} { l l l l l l l l } 5 & 6 & 4 & 5 & 8 & 6 & 5 & 3\end{array}$$
Find the observed level of significance for the test of $H _ { 0 } : \mu = 5$ against $H _ { \mathrm { a } } : \mu \neq 5$ . Interpret the result.