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A Population Consists of These Values 3,5,8,14,173,5,8,14,17 Find the Mean μ\mu

Question 136

Essay

A population consists of these values: 3,5,8,14,173,5,8,14,17 . Find the mean, μ\mu , and standard deviation, σ\sigma , of the population. List all samples of size n=2\mathrm { n } = 2 that are obtained without replacement. Find the population of all values of xˉ\bar { x } by finding the mean of each sample that you listed. Find the mean μx\mu _ { x } ^ { - } and standard deviation σx\sigma _ { x } ^ { - } for the population of sample means by using the formulas:
μx=μ and σx=σnNnN1\mu _ { x } ^ { - } = \mu \text { and } \sigma _ { x } ^ { - } = \frac { \sigma } { \sqrt { n } } \sqrt { \frac { N - n } { N - 1 } }

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