A sample of 4 clusters is to be taken from a population with N = 50 clusters and M = 800 elements in the population. The values of Mi and Xi for each cluster are shown below. 
a.Determine the point estimate of the population mean.
b.Determine the standard error of the mean.
c.Develop a 95% confidence interval for the population mean.
d.Determine the point estimator of the population total.
e.Approximate a 95% confidence interval estimate of the population total.
Definitions:
Divergent Thinking
A thought process that attempts to generate multiple solutions to problems; free and fluent association to the elements of a problem.
String Uses
Applications or purposes for which string or thread is utilized, ranging from crafting to practical uses in tying or binding.
Analytical Intelligence
The ability to analyze, evaluate, judge, compare, and contrast information.
Sternberg's View
A theory of intelligence proposed by Robert Sternberg, suggesting that human intelligence comprises analytical, creative, and practical dimensions.
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