A manufacturer uses a new production method to produce steel rods. A random sample of 27 steel rods resulted in lengths with astandard deviation of 3.89 cm. At the 0.01 significance level, using the p-value method, test the claim that the new productionmethod 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. HọH;:4. Test Statistic:6. p-Value:5. Distribution (Graphically):7. Statistical Conclusion:8. Final Words:

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Description: A manufacturer uses a new production method to produce steel rods. A random sample of 27 steel rods resulted in lengths with astandard deviation of 3.89 cm. At the 0.01 significance level, using the p-value method, test the claim that the new produc

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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:

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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