A Population Consists of These Values $3,5,8,14,17$ Find the Mean $\mu$

Essay

A population consists of these values: $3,5,8,14,17$ . Find the mean, $\mu$ , and standard deviation, $\sigma$ , of the population. List all samples of size $\mathrm { n } = 2$ that are obtained without replacement. Find the population of all values of $\bar { x }$ by finding the mean of each sample that you listed. Find the mean $\mu _ { x } ^ { - }$ and standard deviation $\sigma _ { x } ^ { - }$ for the population of sample means by using the formulas:
$$\mu _ { x } ^ { - } = \mu \text { and } \sigma _ { x } ^ { - } = \frac { \sigma } { \sqrt { n } } \sqrt { \frac { N - n } { N - 1 } }$$