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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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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