Question

Based on experience, the Ball Corporation’s aluminum can manufacturing facility in Ft. Atkinson, Wisconsin, knows that the metal thickness of incoming shipments has a mean of 0.2569 mm with a standard deviation of 0.000936 mm.

(a) A certain shipment has a diameter of 0.2605. Find the standardized z-score for this shipment. (Round your answer to 3 decimal places.)

Answer 1

Solution :

Given ,

mean = = 0.2569

standard deviation = = 0.000936

x=0.2605

using z-score formula

z =X -/

z=0.2605 -0.2569 /0.000936

z=3.846