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A local coffee shop decided to start advertising on the radio.

The $12\text{ weeks}$ following a lengthy advertising campaign showed sales averaging $\$5{,}785.34$ per week with a standard deviation of $\$385.23$. This compares to an average of $\$5{,}355$ per week in sales before the advertising campaign.

Assuming conditions are met, does this data give convincing evidence that the advertising campaign helped?


No, not at any common alpha levels.


Yes, but at the alpha $10\%$ level only.


Yes, but at the alpha $5\%$ and $10\%$ levels only.


Yes, at the alpha $1\%$, $5\%$, and $10\%$ levels.


Yes, at the alpha = $1\%$ level, but not $5\%$ level.

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