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How much does a sleeping bag cost? Let's say you want a sleeping bag that should...

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Statistics

How much does a sleeping bag cost? Let's say you want a sleepingbag that should keep you warm in temperatures from 20°F to 45°F. Arandom sample of prices ($) for sleeping bags in this temperaturerange is given below. Assume that the population of x values has anapproximately normal distribution.

105 75 85 80 65 50 30 23 100 110
105 95 105 60 110 120 95 90 60 70

(a) Use a calculator with mean and sample standard deviation keysto find the sample mean price x and sample standard deviation s.(Round your answers to two decimal places.)
x = $
s = $

(b) Using the given data as representative of the population ofprices of all summer sleeping bags, find a 90% confidence intervalfor the mean price μ of all summer sleeping bags. (Round youranswers to two decimal places.)
lower limit $
upper limit $

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