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Suppose a sample of size $n = 8$ is taken of high school students’ ACT scores.

If the mean is $23$ with a standard deviation of $2.4$, determine the sampling distribution of samples like this of size $n = 8$.

A

Mean = $23$

Standard deviation = $2.4$

Shape is approximately normal.

B

Mean = $23$

Standard deviation = $0.8485$

Shape is unable to be determined.

C

Mean = $23$

Standard deviation = $2.4$

Shape is unable to be determined.

D

Mean = $184$

Standard deviation = $2.4$

Shape is approximately normal.

E

Mean = $2.875$

Standard deviation = $2.4$

Shape is approximately normal.

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