Question: A calibrated production system creates components with a target measure of 117.42 units and standard deviation of 0.14 units. A new customer contracts to accept

 A calibrated production system creates components with a target measure of

A calibrated production system creates components with a target measure of 117.42 units and standard deviation of 0.14 units. A new customer contracts to accept batches of components of size 1000 provided that a random sample of 100 from the batch has a mean value in the range [116.92,117.92] units. a. What proportion of batches will be rejected when the production system is calibrated? b. If the calibration is in error by +0.5 units, so the process mean is 117.92 units, what proportion of batches will be rejected

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