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AP Statistics Practice Free Response Test ? Chapter 10: Estimating with Confidence 1. A steel mill?s milling machine produces steel rods that are supposed to be 5 cm in diameter. When the machine is in statistical control, the rod diameters vary according to a normal distribution with mean ? = 5 cm and standard deviation ? = 0.02 cm. A large sample of 150 produced by the machine yields a sample mean diameter of 5.005 cm. (a) Construct a 95% confidence interval for the true mean diameter of the rods produced by the milling machine.