Problem #$2$: The voltage output of a sensor is measured $51$ times with an average value of

$12\mathrm{.}379$ V and a standard deviation of $1\mathrm{.}520$ V$.$ Considering only the precision uncertainty of the

measurement process, determine: a$)$ the uncertainty in the voltage value at a confidence level of

$95\%,$ b$)$ state the measured voltage value with correct significant digits, c$)$ assuming the sample

standard deviation remains constant, determine the total measurements required so that the

precision uncertainty would be $\backslash$pm $0\mathrm{.}25$ V$,$ d$)$ repeat parts a$-$c assuming a confidence level of $99\%$