How much does a sleeping bag cost? Let€™s say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range was taken from Backpacker Magazine€™s: Gear Guide (Vol. 25, Issue 157, No. 2). Brand names include American Camper, Cabela€™s, Camp 7, Caribou, Cascade, and Coleman.

(a) Use a calculator with mean and sample standard deviation keys to verify that ‰ˆ $83.75 and s ‰ˆ $28.97.
(b) Using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price μ of all summer sleeping bags.
(c) What does the confidence interval mean in the context of this problem?

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