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Problem: Bearings are manufactured at a rate of 1000 bearings per day. For a large of bearings, their diameter was normally distributed with a mean of µ = 2.505 in and standard deviation of σ = 0.008 in

The specification calls for an acceptable diameter to be in the interval 2.500 (+ -) 0.010 in

1. Calculate the Median the 25th and the 75th percentiles.

2. What is the percentage of shafts that will meet the above specifications?

3. To reduce the number of rejected bearings, a new process was started such that the actual mean shaft diameter µ=2.500 in and the standard deviation is 0.009in

We require that 95% of the bearings meet specification for the calibrated process.

What is the new range for the acceptable diameters?

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