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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Expanding on Exercise 3.18, data on K–12 education variables and populations for all 50 states are available via links in Electronic Section 3.0. Using a sample size of n 5, select repeated random samples without replacement from this population of states and calculate the mean number of teachers per state for each sample. Plot the sample means, thereby generating a simulated sampling distribution for the sample mean for samples of size 5. a. Describe the shape of the simulated sampling distribution. Does it look normal? Why or why not? b. Calculate the standard deviation for the set of generated sample means. Is it close to the theoretical value of
Exercise 3.18
The table below provides data for the 2001 school year on some K–12 education variables as well as populations for the New England states. For samples of size n 2 taken with probabilities proportional to the populations of the states, find all possible estimates of the total number of teachers in the New England states and demonstrate that the estimator is unbiased. Do this for
a. Sampling with replacement
b. Sampling without replacement

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