Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer decides to test this claim by sampling 35 parts. She finds that the standard deviation of the sample is 2.12. Is this enough evidence at the 1% level of significance, to accept the manufacturing companies claim? Calculate the appropriate test statistic (round to 2 decimal places as needed)   Determine the appropriate critical value (round to 3 decimal places as needed)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer decides to test this claim by sampling 35 parts. She finds that the standard deviation of the sample is 2.12. Is this enough evidence at the 1% level of significance, to accept the manufacturing companies claim?

Calculate the appropriate test statistic (round to 2 decimal places as needed)

 

Determine the appropriate critical value (round to 3 decimal places as needed) 

 

Which of the following is your conclusion based on the information above:

 

  • Reject the null hypothesis. There is insufficient evidence that the population variance is less than 9.0.
  • Do not reject the null hypothesis. There is insufficient evidence that the population variance is at least 9.0
  • Reject the null hypothesis. There is sufficient evidence that the population variance is less than 9.0.
  • Do not reject the null hypothesis. There is sufficient evidence that the population variance is less than 9.0.
  • Reject the null hypothesis. There is sufficient evidence that the population variance is at least 9.0
  • Do not reject the null hypothesis. There is insufficient evidence that the population variance is less than 9.0.
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