For the Data Set Shown Below, Calculate the Following Values $\begin{array}{llllllll}1 & 2 & 2 & 2 & 3 & 3 & 3 & 3 \\4 & 4 & 4 & 4 & 4 & 4 & 5 & 5 \\5 & 5 & 6 & 6 & 6 & 7 & &\end{array}$

Essay

For the data set shown below, calculate the following values: sample mean, 95% confidence interval for the population mean, sample variance, 95% confidence interval for the population variance, sample standard deviation, approximate 95% confidence interval for the population standard deviation.
Data:
$\begin{array}{llllllll}1 & 2 & 2 & 2 & 3 & 3 & 3 & 3 \\4 & 4 & 4 & 4 & 4 & 4 & 5 & 5 \\5 & 5 & 6 & 6 & 6 & 7 & &\end{array}$