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Moderate

TV Station Standard Deviation

APSTAT-LE1YAX

A television programmer at a local news station surveyed the last $30$ weekday nights and recorded the number of viewers on the $10$ p.m. news.

Last year, approximately $475,000$ people viewed the weekday evening news per night based off data from the entire year.

This year, $30$ randomly sampled weekday nights found an average $495,000$ people per night watching the weekday evening news.

If this increase is significant at the $1\%$ level, what is the standard deviation of the sample?

A

$44,494$

B

$44,494$ or greater

C

Less than $44,494$

D

$8,123$ or greater

E

$8,123$