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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