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In a certain year, a test's scores had a mean $µ$ of $18$ and a standard deviation of $6$.

If a simple random sample of $36$ students were chosen, what would be the mean and standard deviation of the sampling distribution from which the sample was taken?

A

Mean = $18$
Standard deviation = $\cfrac{1}{6}$

B

Mean = $18$
Standard deviation = $0.5$

C

Mean = $18$
Standard deviation = $1$

D

Mean = $18$
Standard deviation = $3$

E

Mean = $18$
Standard deviation = $6$

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