(a)
Find the average number of points per game for the Seattle Storm during the 2023 regular season.
(b)
Calculate the sampling error using the first 5 games in the Excel file as your sample.
Answer.
\begin{equation*}
\overline{x}=76.8
\end{equation*}
\begin{equation*}
\overline{x}-\mu=-2.025
\end{equation*}
(c)
Calculate the sampling error using the first 10 games in the Excel file as your sample.
Answer.
\begin{equation*}
\overline{x}=77
\end{equation*}
\begin{equation*}
\overline{x}-\mu= -1.825
\end{equation*}
(d)
Calculate the sampling error using the first 20 games in the Excel file as your sample.
Answer.
\begin{equation*}
\overline{x}=79
\end{equation*}
\begin{equation*}
\overline{x}-\mu=0.175
\end{equation*}
(e)
Calculate the sampling error using the first 30 games in the Excel file as your sample.
Answer.
\begin{equation*}
\overline{x}\approx 78.2667
\end{equation*}
\begin{equation*}
\overline{x}-\mu\approx -0.5583
\end{equation*}
(f)
Calculate the sampling error using the first 35 games in the Excel file as your sample.
Answer.
\begin{equation*}
\overline{x}\approx 78.7429
\end{equation*}
\begin{equation*}
\overline{x}-\mu\approx -0.0821
\end{equation*}
(g)
What happens to the sampling error as the sample size gets bigger?
Answer.
The sampling error decreases as the sample size increases.
(h)
Using a sample size of 4, what is the largest sampling error that can be observed from this population?
Answer.
largest \(\overline{x}=\frac{109+97+97+97}{4}=100\)
\begin{equation*}
\overline{x}-\mu=21.175
\end{equation*}
