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3. A sample survey of 54 discount brokers showed that the mean price charged for trade of 100 shares at \( \$ 50 \) per share is \( \$ 33.77 \). The survey is conducted annually. Assume the known population standard deviation is \( \$ 15 \). (a) Using the sample data, what is the margin of error associated with a \( 95 \% \) confidence interval? (b) Develop a \( 95 \% \) confidence interval for the mean price charged by discount brokers for a trade of 100 shares at \( 54 \$ \) per share.

from given data; n = 54, x? = 33.

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