2 (17 pt) A precision machine producing ball bearings is supposed to produce perfect spheres with a diameter of 199 m (micrometers) After measuring a sufficiently big number of ball bearings it was discovered that the machines mean produced diameter is 198 m with 0 4 m The specification limits are symmetric around the machines mean Round intermediate and final results to two decimals if needed (6 pt) What should the specification limits be if the process were barely capable with Cpk 1 (6 pt) After some time the machine wore out and the new standard deviation is 1 m With the original specifications limits found in (a), what is the total percentage of bad quality (5 pt) Draw a graph showing the process distribution and all parameters and results of interest for this problem for the situation in (b)

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Question: 2. (17 pt) A precision machine producing ball bearings is supposed to produce perfect spheres with a diameter of 199 m (micrometers). After measuring a

2. (17 pt) A precision machine producing ball bearings is supposed to produce perfect spheres with a diameter of 199 m (micrometers). After measuring a sufficiently big number of ball bearings it was discovered that the machines mean produced diameter is 198 m with = 0.4 m. The specification limits are symmetric around the machines mean.

Round intermediate and final results to two decimals if needed.

(6 pt) What should the specification limits be if the process were barely capable with Cpk = 1?
(6 pt) After some time the machine wore out and the new standard deviation is = 1 m. With the original specifications limits found in (a), what is the total percentage of bad quality?
(5 pt) Draw a graph showing the process distribution and all parameters and results of interest for this problem for the situation in (b).

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