A sample survey of 62 discount brokers showed that the mean price charged for a trade of 100 shares at $50 per share was $31.11. The survey is conducted annually. With the historical data available, assume a known population standard deviation of $19. (a) Using the sample data, what is the margin of error in dollars associated with a 95% confidence interval? (Round your answer to the nearest cent.) $ (b) Develop a 95% confidence interval for the mean price in dollars charged by discount brokers for a trade of 100 shares at $50 per share. (Round your answers to the nearest cent.) $ ( ) to $ ( )

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A sample survey of 62 discount brokers showed that the mean price charged for a trade of 100 shares at $50 per share was $31.11. The survey is conducted annually. With the historical data available, assume a known population standard deviation of $19.
(a)
Using the sample data, what is the margin of error in dollars associated with a 95% confidence interval? (Round your answer to the nearest cent.)
$
(b)
Develop a 95% confidence interval for the mean price in dollars charged by discount brokers for a trade of 100 shares at $50 per share. (Round your answers to the nearest cent.)
$ ( ) to $ ( )
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