Question: How much does a sleeping bag cost? Lets say you want a sleeping bag that should keep you warm in temperatures from 20F to 45F.

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 Î¼ of all summer sleeping bags.
(c) What does the confidence interval mean in the context of this problem?

80 90 100 20 7537 30 23 100 110 05 95 10S 60 110 120 95 906070

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