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A quality control expert is called in to determine whether a newly installed mac

ID: 3159402 • Letter: A

Question

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 exceeds the warp-breaking specification of the manufacturer at the .05 level of significance?

Explanation / Answer

Ho : miu = 66

Ha : miu > 66

Z = ( 64.5 - 66 ) / ( 5 / srqt36 )

z = -1.8

p value is 0.9641

since p value is greater than alpha ( signifcance level ) we fail to reject Ho

conclusion

the cotton produced on the nuw machine dont exceeds the warp breaking specification of the manufactrer

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