$9,25,10,27,6,12,29,7$

$($a$)$ How many degrees of freedom are present in this study?

$($b$)$ What is the point estimate $($in days$)?$

$x$ days

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

$x$ days

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

$(x),x$ days

$($d$)$ Interpret the $95\%$ confidence interval for the population mean.

We are $95\%$ confident all results are in this interval.

We know that $95\%$ of the results will be in the interval.

We are $95\%$ confident that the true mean is contained in the interval.

Ninety$-$five percent of the data are outside of the interval.