Complete the following problems usingR. Name the file with your last name, e.g.,“Prob set 6-Smith.eoc”Clearly label problems, and be sure to turnin explanations and interpretations whereappropriate.
3.Total cholesterol has been reported to be 200 mg/dL on averagein the US by the Centers for Disease Control. Youmeasure total cholesterol on a random sample of 80 Alabama adults,with the intention of comparing Alabamians’ cholesterol level tothat of the US average. Data are included in the assignment .xlsxfile. Assume
that cholesterol is approximately normally distributed with aknown standard deviation of 70 mg/dL.
a.What is the mean value observed for Alabamians’cholesterol?
b.What is the standard error of Alabamians’ cholesterol assumingthe given known standard deviation?
c.Find the 95% confidence interval for the unknown populationmean of Alabamians’ cholesterol level values and interpret itsmeaning.
d.Test the hypothesis that Alabamians have higher averagecholesterol than that of the US at the =0.05level. (Be sure to right down all steps, as in thelecture notes, and interpret the meaning of the test!)
e.How would your answer in (d) change if you used an =0.01level?
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