Please show detailed work and work out each problem
Question 1:
C6. When taking a random sample from a very large population, how does the standard error of the mean change when
A. the sample size is increased from 100 to 1,600?
B. the sample size is decreased from 300 to 150?
C. the sample size is multiplied by 4?
Question 2:
C8. The following table shows the number of active military personnel in 2009, by region (including the District of Columbia).
Please see chart in files for this question
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 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?
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?
Question 3:
C10. Imagine that you are working with a total population of 21,473 respondents. You assign each respondent a value from 0 to 21,473 and proceed to select your sample using the random number table in Appendix A. Starting at column 7, line 1 in Appendix A and going down, which are the first five respondents that will be included in your sample?
