A manufacturer uses a new production method to produce steel rods. A random sample of 27 steel rods resulted in lengths with a standard deviation of 3.89 cm. At the 0.01 significance level, using the p-value method, test the claim that the new production method has lengths with a standard deviation different from 3.61 cm, which was the standard deviation for the old method.

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A manufacturer uses a new production method to produce steel rods. A random sample of 27 steel rods resulted in lengths with a
standard deviation of 3.89 cm. At the 0.01 significance level, using the p-value method, test the claim that the new production
method has lengths with a standard deviation different from 3.61 cm, which was the standard deviation for the old method.
Enter the test statistic. (Round your answer to nearest hundredth.)
1. Extract Information:
2. Original Claim:
3. Họ
H;:
4. Test Statistic:
6. p-Value:
5. Distribution (Graphically):
7. Statistical Conclusion:
8. Final Words:
Transcribed Image Text:A manufacturer uses a new production method to produce steel rods. A random sample of 27 steel rods resulted in lengths with a standard deviation of 3.89 cm. At the 0.01 significance level, using the p-value method, test the claim that the new production method has lengths with a standard deviation different from 3.61 cm, which was the standard deviation for the old method. Enter the test statistic. (Round your answer to nearest hundredth.) 1. Extract Information: 2. Original Claim: 3. Họ H;: 4. Test Statistic: 6. p-Value: 5. Distribution (Graphically): 7. Statistical Conclusion: 8. Final Words:
Expert Solution
Step 1

Given,

A random sample of 27 steel rods

n=27

Standard deviation (sd) from new production method=s =3.89

Standard deviation (sd) from new production method=σ=3.61

Level of significance (α) =0.01

 

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