An experiment was conducted to compare the strength of shirts for two different brands. A random sample of twelve shirts of brand A and a random sample of ten shirts of brand B were tested. Brand A gave average strength of 85kg with a sample standard deviation of 4, while brand B gave an average of 81kg and standard deviation of 5. Can we conclude at the 0.05 level of significance that the strength of brand A exceeds that of brand B by more than 2kg? Assume the nonulation to be annroximately normal with equal variances

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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An experiment was conducted to compare the strength of shirts for two
different brands. A random sample of twelve shirts of brand A and a random
sample of ten shirts of brand B were tested. Brand A gave average strength of
85kg with a sample standard deviation of 4, while brand B gave an average of
81kg and standard deviation of 5. Can we conclude at the 0.05 level of
significance that the strength of brand A exceeds that of brand B by more than
2kg? Assume the population to be approximately normal with equal variances.
Transcribed Image Text:An experiment was conducted to compare the strength of shirts for two different brands. A random sample of twelve shirts of brand A and a random sample of ten shirts of brand B were tested. Brand A gave average strength of 85kg with a sample standard deviation of 4, while brand B gave an average of 81kg and standard deviation of 5. Can we conclude at the 0.05 level of significance that the strength of brand A exceeds that of brand B by more than 2kg? Assume the population to be approximately normal with equal variances.
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