Shafts manufactures for use in optical storage devices havediameters that are no

Question

Shafts manufactures for use in optical storage devices havediameters that are normally distributed with mean =0.652 cmand standard deviation =0.003cm. The specification for theshaft diameter is 0.650±0.005 cm. (a) What proportion of the shafts manufactures by this processmeet the specifications? (b) The process mean can be adjusted throughcalibration. If the mean is set to be 0.0650cm, whatproportion of the shafts will meet specifications? Shafts manufactures for use in optical storage devices havediameters that are normally distributed with mean =0.652 cmand standard deviation =0.003cm. The specification for theshaft diameter is 0.650±0.005 cm. (a) What proportion of the shafts manufactures by this processmeet the specifications? (b) The process mean can be adjusted throughcalibration. If the mean is set to be 0.0650cm, whatproportion of the shafts will meet specifications?

Explanation / Answer

mean, =0.652 standard deviation, =0.003 The specification for the shaft diameter is 0.650±0.005cm. = (0.645,0.655) hence z* = 0.005 hence, z = 1.67 (a) proportion of the shafts manufactures by thisprocess =  0.652±0.005 cm. =(0.647, 0.657) =(0.647, 0.657) proportion of the shafts manufactures by this process meet thespecifications should lie between =(0.647, 0.655)
=(0.647, 0.655) (b) The process mean can be adjusted throughcalibration. If the mean is set to be 0.0650cm, proportion of the shafts will meet specifications=  (0.645,0.655)

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