The latest antidepressant produced is currently involved in the testing process. Eight subjects have joined the testing process where the mean number of days taken before side effects disappeared is being examined. The results are as follows.

$5,15,8,6,7,16,12,14$

What is the standard deviation $($in days$)$ of the sample? $($Round your answer to four decimal places.$)$

What is the $95\%$ confidence interval $($in days$)$ for the population mean? $($Use a table or technology. Round your answers to three decimal places.$)$