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AP® Statistics

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Formula: Adjustments to Population

APSTAT-FZKLLN

A random variable is normally distributed with $\mu = 25$ and $\sigma = 5$.

What are the new mean and standard deviation if you multiply each value in the underlying population by $2$ and then add $10$?

A

$\mu = 50; \sigma = 5$

B

$\mu = 50; \sigma= 20$

C

$\mu = 60; \sigma = \sqrt{60}$

D

$\mu = 60; \sigma = 10$

E

$\mu = 60; \sigma = 20$