a. To get acquainted with the two theoretical populations, randomly select a very large sample from each. Generate 2000 data values, calculate mean and standard deviation, and construct a histogram using class boundaries that are multiples of one-half of a standard deviation (10) starting at the mean for each population.
b. If samples of size 8 are randomly selected from each population, what do you expect the distribution of x1 = x2 to be like (shape of distribution, mean, standard error)?
c. Randomly draw a sample of size 8 from each population, and find the mean of each sample. Find the difference between the sample means. Repeat 99 more times.
f. Repeat the experiment a few times and compare the results.
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