91Ó°ÊÓ

Consider the given question,

The samples of size 1 and the corresponding means are obtained,

Here, Chrish Bosh by B, Dwyane Wade by W, LeBron James by J, Mario Chalmers by C and Udonis Haslem H.

On constructing the dot plot for the sampling distribution of the sample mean,

Consider the previous question,

The population mean height for five players is $78.6$inches.

From table obtained in part (b), it is clear that none of the sample means are equal to the population mean. Also, number of samples of size 1is 5.

$$\begin{gathered} P\left(\overline{x}=\mathrm{μ}\right)=\frac{0}{5} \\ =0 \end{gathered}$$

We need to find the $P\left(\mathrm{μ}-1≤\overline{x}≤\mathrm{μ}+1\right)$.

From the table obtained in part (b), it is clear that none of the sample means are within 1 inch of the population mean.

$$\begin{gathered} P\left(\mathrm{μ}-1≤\overline{x}≤\mathrm{μ}+1\right)\mathit{=}P\mathit{(}\mathit{78}\mathit{.}\mathit{6}\mathit{-}\mathit{1}\mathit{≤}\overline{x}\mathit{≤}\mathit{78}\mathit{.}\mathit{6}\mathit{+}\mathit{1}\mathit{)} \\ =P\mathit{(}\mathit{77}\mathit{.}\mathit{6}\mathit{≤}\overline{x}\mathit{≤}\mathit{79}\mathit{.}\mathit{6}\mathit{)} \\ =\frac{0}{5} \\ =0 \end{gathered}$$