A steel mill produces alloy sheets used for the bodies of automobiles. The mill produces sheets with an average thickness of 0.517 inches and a standard deviation of 0.037 inches. A new car model requires alloy sheets between 0.495 and 0.525 inches thick. What percentage of the sheets made by the mill will be suitable for the new car model? Explain your answer.

Upper end of range (X) 0.525 Lower end of range (X) 0.495

Mean thickness () 0.517 Mean thickness () 0.517

Standard Deviation () 0.037 Standard Deviation () 0.037

z-score = (x-) / 0.216 z-score = (x-) / -0.595

% to the left of z = NORMDIST*100 58.6 % to the left of z = NORMDIST*100 27.6