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# Don't Worry, Bee Happy: Combined Variance

APSTAT-PWRUW1

Don't Worry, Bee Happy is a store that sells artisanal honey. One of their best sellers is Wild Wildflower Honey, packaged in glass jars that are labeled as containing $8\text{ ounces}$ of honey. The owners want to make very sure that their customers are happy however, so the actual mean amount of honey contained in the jars is $8.05\text{ ounces}$. And while production standards are tight, not all jars contain exactly $8.05\text{ ounces}$. In fact, the standard deviation is $0.09\text{ ounces}$.

For true lovers of Wild Wildflower Honey (and for those looking for a more economical way to purchase several jars), the store offers a special $3$-pack consisting of three individual $8\text{ ounce}$ jars of Wild Wildflower Honey.

Which of the following shows how to calculate the variance of the number of ounces of honey in the $3$-pack?

A

$3\cdot { \left( 0.09 \right) }^{ 2 }$

B

${ \left[ \left( 3 \right) \cdot \left( 0.09 \right) \right] }^{ 2 }$

C

$\left( { 3 }^{ 2 } \right) \cdot \left( 0.09 \right)$

D

${ \left( 3.09 \right) }^{ 2 }$

E

$(3)\cdot(0.09)$