DIVERSE SOCIETY FOR STATISTICS ESSENTIALS OF SOCIAL 154 2009, by region (including the personnel number of active military). The following table shows the District of Columbia, West South Central 177,336, Pacific 229,634, Mountain East South Central 68,440, East North Central 26,384, West North Central 64,644, New England 8,579, Middle Atlantic 41,441, South Atlantic 376,034 2012 Table 508 data) and U.S. Census Bureau; Census Sns US Census Bureau, Statistical Abstract of the United States: Ratons and Divisions of the United States (regions).
Calculate the mean and standard deviation for the population. Now take 10 samples of size from the population. Use simple random sampling. Calculate the mean for each sample. Once you have calculated the mean for each sample, calculate the mean of means (i.e. add up your 10 sample means and divide by 10). How does this mean compare with the mean for all states? How does the value of the standard deviation that you calculated in Exercise 3a compare with the value of the standard error (i.e. the standard deviation of the sampling distribution)? Construct two histograms: one for the distribution of values in the population and the other for the various sample means taken from Exercise 3b. Describe and explain any differences you observe between the two distributions. It is important that you have a clear sense of the population that we are working with in this exercise. What is the population?