You have taken a random sample of size $n = 15$ from a normal population that has a population mean of $\mu = 115$ and a population standard deviation of $\sigma = 11$
Your sample, which is Sample 1 in the table below, has a mean of $\bar{x} = 116.6$. (In the table, Sample 1 is written \"S1\", Sample 2 is written \"S2\", etc.)
(a) Based on Sample 1, graph the 75% and 90% confidence intervals for the population mean. Use 1.150 for the critical value for the 75% confidence
interval, and use 1.645 for the critical value for the 90% confidence interval. (If necessary, consult a list of formulas.)
\begin{itemize}
\item Enter the lower and upper limits on the graphs to show each confidence interval. Write your answers with one decimal place.
\item For the points ($\bullet$ and $\diamond$), enter the population mean, $\mu = 115$.
\end{itemize}
