7.16 NBA Champs. This exercise requires that you have done Exercises 7.11-7.15.
a. Draw a graph similar to that shown in Fig. 7.3 on page $294$for sample sizes of $1,2,3,4$, and $5$.
b. What does your graph in part (a) illustrate about the impact of increasing sample size on sampling error?
c. Construct a table similar to Table 7.4 on page $294$ for some values of your choice.

To construct a graph that similar to the sample size of $1,2,3,4$and $5$.

For the supplied population, use MINITAB to create dot plots for samples of size $1,2,3,4,$and $5$

MINITAB's procedure is as follows:

Step 1: Select Graph > Dotplot from the drop-down menu.

Step 2: Select Multiple $Y\text{'}$s from the drop-down menu and click OK.

Step 3: In Graph variables, input columns of$n=1,n=2,n=3,n=4,n=5,$

Step 4: Select OK.

MINITAB's output is as follows:

To illustrate the graph in part (a) about the impact of increasing sample size on sampling error.

For five players, the average height$\left(\mu \right)$is $78.6$inches.

It is obvious from the MINITAB result in portion (a) that as the sample size grows, the sampling error decreases.
As a result, the sampling error has decreased.

To construct a table, that similar to table $7.4$ for some values of own choice.

Create a table with columns for the number of samples, the number of samples within $1$of $\mu$, the percentage of samples within $1$of $\mu$, the number of samples within$2$of $\mu$, and the percentage of samples within$2$of $\mu$.

As a result, the table is generated.