Two companies are producing a same product. But customers say that there is a difference in the weight of the product between the two companies. You have been appointed to test this statement. When 15 items from company one is tested, average weight was 50.2 kg with a standard deviation of 3.1 kg. When 15 items from company two is tested, average weight was 48.3kg with a standard deviation of 4.2 kg. Test the statement at 5% level of significance.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
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Please Show All Workings Very Clearly!
Two companies are producing a same product.
But customers say that there is a difference in the weight of the product between the two
companies.
You have been appointed to test this statement.
When 15 items from company one is tested, average weight was 50.2 kg with a standard
deviation of 3.1 kg.
When 15 items from company two is tested, average weight was 48.3kg with a standard
deviation of 4.2 kg.
Test the statement at 5% level of significance.
Transcribed Image Text:Please Show All Workings Very Clearly! Two companies are producing a same product. But customers say that there is a difference in the weight of the product between the two companies. You have been appointed to test this statement. When 15 items from company one is tested, average weight was 50.2 kg with a standard deviation of 3.1 kg. When 15 items from company two is tested, average weight was 48.3kg with a standard deviation of 4.2 kg. Test the statement at 5% level of significance.
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