Level of Significance

1. A quality control expert is called in to determine whether a newly installed machine is meeting quality standards in 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 make the decision that the cotton produced on the new machine meets the warp-breaking specification of the manufacturer at the .05 level of significance?