تم الحل ✓
categoryإحصاء
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
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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