SOLUTION: THE TIRE COMPANY CLAIMS THAT ITS TIRES LAST AN AVERAGE 50K WITH A S.D OF 15K. BASED ON THE SAMPLE SIZE 33, WITH A SAMPLE MEAN OF 52K AND A LEVEL OF SIGNIFICANCE OF ()=0.1; TEST THE
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Question 172513This question is from textbook ELEMENTARY STATISTICS
: THE TIRE COMPANY CLAIMS THAT ITS TIRES LAST AN AVERAGE 50K WITH A S.D OF 15K. BASED ON THE SAMPLE SIZE 33, WITH A SAMPLE MEAN OF 52K AND A LEVEL OF SIGNIFICANCE OF ()=0.1; TEST THE CLAIM USING HYPOTHESES TESTING TECHNIQUES AND WRITE YOUR CONCLUSION IN NON-TECHNICAL TERMS.
This question is from textbook ELEMENTARY STATISTICS
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
THE TIRE COMPANY CLAIMS THAT ITS TIRES LAST AN AVERAGE 50K WITH A S.D OF 15K. BASED ON THE SAMPLE SIZE 33, WITH A SAMPLE MEAN OF 52K AND A LEVEL OF SIGNIFICANCE OF (alpha)=0.1; TEST THE CLAIM USING HYPOTHESES TESTING TECHNIQUES AND WRITE YOUR CONCLUSION IN NON-TECHNICAL TERMS.
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Ho: u = 50
Ha: u is not equal to 50
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n=33, s = 15/sqrt(33) , Critical values for alpha=10% are z = +-1.645
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test statistic : z(52) = (52-50)/(15/sqrt(33)) = 0.5164
---
Since the test statistic is not in the rejection interval of the normal
curve, we "Fail to reject Ho".
Conclusion: The companies claim is reasonable based on the testing results.
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Cheers,
Stan H.
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