Two Graphical Displays Are Given for a Set of Data $$\begin{array} { l | l } 2 & 2 \\ 3 & 047 \\ 4 & 059 \\ 5 & 38 \\ 6 & 5 \\ 7 & 4 \\ 8 & 7 \end{array}$$

Essay

Two graphical displays are given for a set of data. A hypothesis test is to be performed for the mean of the populationfrom which the data were obtained. Would it be reasonable to use a one-mean z-test? Explain your reasoning. Assumethat the population standard deviation is known.
-A normal probability plot and a stem-and-leaf diagram of the data are given below. $$\begin{array} { l | l } 2 & 2 \\ 3 & 047 \\ 4 & 059 \\ 5 & 38 \\ 6 & 5 \\ 7 & 4 \\ 8 & 7 \end{array}$$