# Question

A travel agent wants to gather information on the per-night cost at hotels in Caribbean countries. She took a random sample of 52 rooms from various hotels in those countries. The sample produced a mean cost for the 52 rooms to be $208.35 per night. If the population standard deviation of costs for a one-night stay in Caribbean hotels is $47.45, find a 99% confidence interval for the average cost per night in Caribbean hotels.

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