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# Statistics: Active Military Personnel by State

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The number of active military personnel per state is outlined in the attached document.

A. Calculate the mean and standard deviation for the population.
B. Take 10 samples of size 5 from the population. Use either simple random sampling or systematic sampling with the help of the table of random numbers. Calculate the mean for each sample.
C. Once you have calculated the mean for each sample, calculate the mean of means (i.e., add up you 10 sample means and divide by 10). How does this mean compare with the mean for all states?
D. How does the value of the standard deviation that you calculated in Part A compare with the value of the standard error (I.e., the standard deviation of the sampling distribution)?
E. Construct two histograms, one for the distribution of values in the population and the other for the various sample means taken from Part B describe and explain any differences you observe between the two distributions.
F. It is important that you have a clear sense of the population that we working with in exercise. What is the population?

##### Solution Summary

The solution discusses an active military personnel by state.

##### Solution Preview

A. Calculate the mean and standard deviation for the population.

Mean = 22558.98039
Variance = 1191778678
Standard Deviation = 34522.14765

B. Now take 10 samples of size 5 from the population. Use either simple random sampling or systematic sampling with the help of the table of random numbers. Calculate the mean for each sample.

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