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:
Profit Margin
The ratio of net income to revenue, indicating how much profit is made on average from sales.
Authority
The authority or capability to issue commands, make choices, and ensure compliance.
Decision
The act or process of choosing a particular action among various alternatives based on the expected outcomes.
Residual Income
The income that remains after deducting all costs, expenses, and taxes from total revenues.
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