Find probability that sample mean from group has high level


Assume that serum cholesterol levels are normally distributed. We are given that the mean serum cholesterol level of U.S. males aged 20-74 is 211 mg/dL, and that the standard deviation (σ) of that population is 46 mg/dL. You randomly select 16 individuals from that population.

a.Would you use the Z table or t table? Why?
b.What is the probability that an individual of the 16 selected has a cholesterol level greater than 280 mg/dL?
c.What is the probability that a sample mean from a group of 16 has a cholesterol level greater than 280 mg/dL?

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Basic Statistics: Find probability that sample mean from group has high level
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