Use a computer or calculator to complete the calculations and the hypothesis test for this exercise. Delco Products, a division of General Motors, produces commutators designed to be 18.810 mm in overall length. (A commutator is a device used in the electrical system of an automobile.) The following data are the lengths of a sample of 35 commutators taken while monitoring the manufacturing process:

Is there sufficient evidence to reject the claim that these parts meet the design requirement €œmean length is 18.810€ at the a = 0.01 level of significance?

18.802 18.810 18.780 18.757 18.824 18.827 18.825 8.809 18.794 18.787 18.844 18.824 18.829 18.817 18.785 18.747 18.802 18.826 18.810 18.802 18.780 18.830 18.874 18.836 18.758 18.813 18.844 18.861 18.824 18.835 18.794 18.853 18.823 18.863 18.808