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Texas County Populations

APSTAT-ELYLJP

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 $15$ 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 $254$ counties is $99,423$ people with a standard deviation of $354,429$ people.

Describe the sampling distribution of the mean population for samples of $15$ 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

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