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The campaign director for a Texas governor's candidate is planning a multi-stage sample survey. In the first stage, the director will randomly choose $15\text{ counties}$. The partial histogram below shows the population by county for Texas (the five highest outlier counties have been omitted).

The average population for all $254\text{ counties}$ is $99{,}423\text{ people}$ with a standard deviation of $354{,}429\text{ people}$.

Describe the sampling distribution of the mean population for samples of $15\text{ counties}$.

A

${ \mu }_{ \overline { x } }=99{,}423$, ${ \sigma }_{ \overline { x } }=354{,}429$

B

${ \mu }_{ \overline { x } }=99{,}423$, ${ \sigma }_{ \overline { x } }=91{,}513$

C

${ \mu }_{ \overline { x } }=99{,}423$, ${ \sigma }_{ \overline { x } }=354{,}429$

D

${ \mu }_{ \overline { x } }=99{,}423$, ${ \sigma }_{ \overline { x } }=91{,}513$

E

${ \mu }_{ \overline { x } }=99{,}423$, ${ \sigma }_{ \overline { x } }=22{,}239$

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