To calculate: The percentage of the ball bearings that will be rejected.
The percentage of ball bearings that will be rejected is about 5%.
Given:
The standard deviation of the diameter of the ball bearings produced
The specified value of deviation from the diameter where output is rejected is
Concept used:
In a
Calculation:
The diameter of the ball bearings produced has to be within 0.1 mm from the mean, which is nothing but two times the standard deviation. Thus the diameter of the ball bearings produced has to be within 0.1 mm of the mean or within two standard deviations of the mean. According to the empirical rule within two standard deviations from the mean, the percentage of data is about 95%. Thus the percentage of the data which is not within two standard deviations of the mean is
Conclusion:
The percentage of the ball bearings whose diameter deviates more than 0.1 mm from the mean and get rejected is about 5%.
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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