Solve the Problem $\sigma$ , of the
Population $\overline { \mathrm { X } }$

question 198

Essay

Solve the problem.
-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 n = 2 that are obtained without replacement. Find the population of all
values of $\overline { \mathrm { X } }$ by finding the mean of each sample that you listed. Find the mean $\mu _ { x } ^ { - }$ and standard deviation $\sigma _ { \mathrm { X } } ^ { - }$ for
the population of sample means by using the formulas: $\mu _ { \mathrm { x } } ^ { - } = \mu \text { and } \sigma _ { \mathrm { x } } ^ { - } = \frac { \sigma } { \sqrt { \mathrm { n } } } \sqrt { \frac { \mathrm { N } - \mathrm { n } } { \mathrm { N } - 1 } }$

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