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a quality control engineer is responsible for maintaining the process quality on the inside diameter of...

a quality control engineer is responsible for maintaining the process quality on the inside diameter of a piston ring in a manufacturing process. it is believed that the inside diameter is normally distributed with a mean of 1.50 and standard deviation of 0.15

a) what is the probabilty that the mean of a randomly selected part has a diameter greater than 1.6?

b) what is the probabilty that the mean of a random sample of 25 pistons rings has a diameter greater than 1.6?

c)following b, what is the probabilty that the variance of this sample is greater than 0.03?

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