APFIVE Standard Deviation of a Sample Mean
An energy drink has an average caffeine content of $$200$$ mg with a standard deviation of $$10$$ mg per bottle. Boxes contain 6 bottles. What is the standard deviation of the average caffeine content per box?
A
$$2.45$$ 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
$$10$$ mg