Using two different confidence levels, a researcher constructs two confidence intervals for a population mean based on a sample of size $n=25.$ The standard error of the mean is $5\mathrm{.}2.$ Assume the population is normally distributed and the population standard deviation is unknown.

The confidence intervals are:

Interval $1$:

Interval $2$:

Determine the following:

a$)$ The sample mean $(1$ decimal place$)$:

$\stackrel{}{x}=$

b$)$ The margin of error, $ME(3$ decimal places$)$:

$ME$ for Interval $1=$

$ME$ for Interval $2=$

c$)$ The sample standard deviation $($to the nearest integer$)$:

$s=$

At what confidence level was each confidence interval constructed? Choose the closest.