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AP® Statistics

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Almond Weights

APSTAT-KIKG44

The quality control inspector at an almond packaging plant checks the packaging equipment by randomly selecting and weighing $25$ bags each day. The packaging equipment is calibrated to package bags with a mean weight of $12$ ounces and a standard deviation of $0.25$ ounces.

What should be the mean and standard deviation for the sampling distribution of all the daily mean weights?

A

${ \mu }_{ \overline { x } }=300$, ${ \sigma }_{ \overline { x } }=6.25$

B

${ \mu }_{ \overline { x } }=300$, ${ \sigma }_{ \overline { x } }=0.05$

C

${ \mu }_{ \overline { x } }=300$, ${ \sigma }_{ \overline { x } }=0.01$

D

${ \mu }_{ \overline { x } }=12$, ${ \sigma }_{ \overline { x } }=0.05$

E

${ \mu }_{ \overline { x } }=12$, ${ \sigma }_{ \overline { x } }=0.01$