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Suppose a certain brand of candy bar has a mean weight of $1.02\text{ oz}$ with a standard deviation of $0.03\text{ oz}$.

If $5$ candy bars are randomly selected, determine the mean and standard deviation of this sampling distribution.

A

Mean = $5.1$; standard deviation = $0.15$

B

Mean = $1.02$; standard deviation = $0.03$

C

Mean = $1.02$; standard deviation = $0.15$

D

Mean = $1.02$; standard deviation = $0.0134$

E

Mean = $5.10$; standard deviation = $0.0134$

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