5. Camping: Cost of a Sleeping Bag 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: Gear Guide (Vol. 25, Issue 157, No. 2). Brand names include American Camper, Cabela's, Camp 7, Caribou, Cascade, and Coleman. 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 $83.75 and s≈ $28.97. b. Using the given data as representative of the population of prices of all sleeping bags, find a 90% confidence interval for the mean price μ of all sleeping bags. c. Interpretation What does the confidence interval mean in the context of this problem?
5. Camping: Cost of a Sleeping Bag How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range was taken from Backpacker Magazine: Gear Guide (Vol. 25, Issue 157, No. 2). Brand names include American Camper, Cabela's, Camp 7, Caribou, Cascade, and Coleman. 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 $83.75 and s≈ $28.97. b. Using the given data as representative of the population of prices of all sleeping bags, find a 90% confidence interval for the mean price μ of all sleeping bags. c. Interpretation What does the confidence interval mean in the context of this problem?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Transcribed Image Text:5. Camping: Cost of a Sleeping Bag How much does a sleeping bag cost? Let's say
you want a sleeping bag that should keep you warm in temperatures from 20°F to
45°F. A random sample of prices ($) for sleeping bags in this temperature range
was taken from Backpacker Magazine: Gear Guide (Vol. 25, Issue 157, No. 2).
Brand names include American Camper, Cabela's, Camp 7, Caribou, Cascade, and
Coleman.
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
$83.75 and s≈ $28.97.
b. Using the given data as representative of the population of prices of all
sleeping bags, find a 90% confidence interval for the mean price μ of all
sleeping bags.
c. Interpretation What does the confidence interval mean in the context of this
problem?
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