How long do new batteries last on a camping trip? Random sample of N subscript one equals 42 small camp flash lights were installed with brand one batteries and left on until the batteries failed. The sample mean lifetime was X bar equals 9.8 hours. Another sample of N subscript two equals 38 small flashlights of the same model were installed with brand two batteries and leftOn until the batteries failed. The sample mean of lifetimes was X bar subscript two equals 8.1 hours. Historical data suggests Sigma subscript one equals 2.2 hours and sigma subscript two equals 3.5 hours. Find a 90% confidence interval for the difference in battery life. Does it appear that one battery last longer than the other? Explain

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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 How long do new batteries last on a camping trip? Random sample of N subscript one equals 42 small camp flash lights were installed with brand one batteries and left on until the batteries failed. The sample mean lifetime was X bar equals 9.8 hours. Another sample of N subscript two equals 38 small flashlights of the same model were installed with brand two batteries and leftOn until the batteries failed. The sample mean of lifetimes was X bar subscript two equals 8.1 hours. Historical data suggests Sigma subscript one equals 2.2 hours and sigma subscript two equals 3.5 hours. Find a 90% confidence interval for the difference in battery life. Does it appear that one battery last longer than the other? Explain

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