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A tennis coach weighs all the members of the girls tennis team; the resulting mean and standard deviation are $130\text{ pounds}$ and $5\text{ pounds}$, respectively.

The coach later realizes that the scale she used was no​t calibrated properly, and each girl’s weight registered as $2\text{ pounds}$ heavier than it should have been.

Without reweighing each girl, what values should the coach use for the mean and standard deviation of these values?

A

$\mu =128\text{ pounds}$;
$\sigma = 5\text{ pounds}$

B

$\mu = 128\text{ pounds}$;
$\sigma = 3\text{ pounds}$

C

$\mu =128\text{ pounds}$;
Standard deviation cannot be determined.

D

$\mu = 132\text{ pounds}$;
$\sigma = 5\text{ pounds}$

E

$\mu = 132\text{ pounds}$;
$\sigma = 3\text{ pounds}$

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