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

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

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

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