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Name: A manufacturer of sports equipment has developed a new synthetic fishi
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Description: A manufacturer of sports equipment has developed a new synthetic fishing line that he claims has a mean breaking strength of 8 kilograms with a standard deviation of 0.5 kilogram. Test the hypothesis that ? = ? kilograms against the alternative hypot

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 of sports equipment has developed a new synthetic fishing line that he claims has a mean breaking strength of 8 kilograms with a standard deviation of 0.5 kilogram. Test the hypothesis that ? = ? kilograms against the alternative hypothesis ? ≠ ? kilograms if a random sample of 50 lines is tested and found to have a mean breaking strength of 7.8 kilograms. Use a 0.01 level of significance.

Step 1: Null and Alternative Hypothesis
Ho: Ha:

Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region
Critical Region:

Step 4: Compute the z or t value

Step 5: Decide whether to accept or reject Ho.

Step 6: Conclusion

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