Question 208248
A quality control expert is called in to determine whether a newly installed machine is producing a particular cotton cloth according to the specifications set by the manufacturer. The mean warp-breaking strength of this particular cotton cloth has been established to be 66 pounds. 
A random sample of 36 pieces of cotton cloth is obtained from a production run on this machine. The results of the sample reveal a mean warp-breaking strength of 64.5 pounds and a standard deviation of 5 pounds. Can the quality control expert say that the cotton produced on the new machine meets the warp-breaking specification of the manufacturer at the .05 level of significance? 
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Ho: u = 0.66
Ha: u >= 66
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sample mean = 64.5
alpha = 5% on a right-tail test.
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I ran a 1-sample T-test and got the following results:
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test statistic = -1.8
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p-value = 0.96
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Conclusion: Since the p-value is greater than 5% do not reject Ho.
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Cheers,
Stan H.