C8. The following table shows the number of active military personnel in 2009, by region (including the District of Columbia). Pacific 229,634 Mountain 89,816 West South 177,336 Central 64,564 East North 26,384 East South 68,440 West North Central Central Central 41,441 New England 8,579 South 376,034 Middle Atlantic Atlantic Source: U.S. Census Bureau, Statistical Abstract of the United States: 2012, Table 508 (data) and U.S. Census Bureau, Census Regions and Divisions of the United States (regions). a. Calculate the mean and standard deviation for the population.

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C8. The following table shows the number of active military personnel in 2009, by region
(including the District of Columbia).
Pacific
229,634
Mountain
89,816
West South
177,336
Central
West North
64,564
East North
26,384
East South
68,440
Central
Central
Central
South
376,034
Middle
41,441
New England
8,579
Atlantic
Atlantic
Source: U.S. Census Bureau, Statistical Abstract of the United States: 2012, Table 508 (data) and U.S. Census
Bureau, Census Regions and Divisions of the United States (regions).
a. Calculate the mean and standard deviation for the population.
Transcribed Image Text:C8. The following table shows the number of active military personnel in 2009, by region (including the District of Columbia). Pacific 229,634 Mountain 89,816 West South 177,336 Central West North 64,564 East North 26,384 East South 68,440 Central Central Central South 376,034 Middle 41,441 New England 8,579 Atlantic Atlantic Source: U.S. Census Bureau, Statistical Abstract of the United States: 2012, Table 508 (data) and U.S. Census Bureau, Census Regions and Divisions of the United States (regions). a. Calculate the mean and standard deviation for the population.
b. Now take 10 samples of size 3 from the population. Use either simple random
sampling or systematic sampling with the help of the table of random numbers in
Appendix A. Calculate the mean for each sample.
C. Once
have calculated the mean for each sample, calculate the mean of means
you
(i.e., add up your 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 Exercise 8a
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 Exercise 8b. 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 are working with
in this exercise. What is the population?
Transcribed Image Text:b. Now take 10 samples of size 3 from the population. Use either simple random sampling or systematic sampling with the help of the table of random numbers in Appendix A. Calculate the mean for each sample. C. Once have calculated the mean for each sample, calculate the mean of means you (i.e., add up your 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 Exercise 8a 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 Exercise 8b. 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 are working with in this exercise. What is the population?
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