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categoryإحصاء schoolبكالوريوس event_available2026-07-13

السؤال

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Q) A process manufactures ball bearings whose diameters are normally distributed with mean 2.505 cm and standard deviation of 0.008 cm. Specifications call for the diameter to be in the interval 2.5 +/- 0.01cm. What proportion of the ball bearings will meet the specification? A) The process can be recalibrated so that the mean will equal 2.5cm, the center of the specification interval. The standard deviation of the process remains 0.008cm. What proportion of the diameters will meet the specification? B) Assume the process has been recalibrated so that the mean diameter is now 2.5 cm. To what value must the standard deviation be lowered so that 95% of the diameters will meet the specification?

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