APFIVE Standard Deviation of a Sample Mean
The caffeine content per bottle of an energy drink has a mean of $$200$$ mg and a standard deviation of $$10$$ mg. For a random sample of 6 bottles, what is the standard deviation of the sample mean caffeine content?
A
$$10$$ mg
B
Approximately $$4.08$$ mg, obtained by dividing the population standard deviation by the square root of the sample size.
C
$$4.08$$ mg
D
$$2.45$$ mg
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