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 for outdoor magazines. 80  90  100 120  75  37  30  23  100  110  105  95  105  60  110  120  95  90  60  70 a) Use a calculator with mean and sample standard deviation keys to verify that x=$83.75 and s=$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) interpretation what does the confidence interval mean in the context of this problem?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 for outdoor magazines.

80  90  100 120  75  37  30  23  100  110 

105  95  105  60  110  120  95  90  60  70

a) Use a calculator with mean and sample standard deviation keys to verify that x=$83.75 and s=$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) interpretation what does the confidence interval mean in the context of this problem?

 

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