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Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean :
Standard deviation:
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x:
At x= 0.75,
Using standard normal table for z-value,
P-value :
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%