SOLUTION: You have a coffee shop where you have averaged 50 cups of sales per hour with a standard deviation of 8 cups. Recently you did some advertising and now you want to see if the ads p

Question 362725: You have a coffee shop where you have averaged 50 cups of sales per hour with a standard deviation of 8 cups. Recently you did some advertising and now you want to see if the ads paid off. So you randomly sampled for 35 random hours and found that your sales went to 53 cups per hour. Use a one tail test and a 0.05 alpha to determine if the ads were worth the effort
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You have a coffee shop where you have averaged 50 cups of sales per hour with a standard deviation of 8 cups. Recently you did some advertising and now you want to see if the ads paid off. So you randomly sampled for 35 random hours and found that your sales went to 53 cups per hour. Use a one tail test and a 0.05 alpha to determine if the ads were worth the effort
----
Ho: u <= 50
Ha: u > 50 (means the ads worked)
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t(53) = (53-50)/[8/sqrt(35)] = 2.2185
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p-value = P(t> 2.2185 when df = 34) = 0.0167
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Conclusion:
Since the p-value is less than 5%, reject Ho.
The test supports the effectiveness of the ads.
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Cheers,
Stan H.

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