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Suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at college. The amount spent

Suppose we want a 90% confidence interval for the average amount spent on books by freshmen in their first year at college. The amount spent has a normal distribution with standard deviation $19.

(a) How large should the sample be if the margin of error is to be less than $2?

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(b) If we wanted a smaller margin of error, we would need asample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)

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