# Question

Refer to Exercise 43 and answer the following questions:

a. Quality control inspectors reject any part with a diameter less than 118 mm or more than 132 mm. What percentage of the parts is rejected?

b. Suppose your engineers could reduce the variation in diameters. Specifically, suppose they can reduce the standard deviation of the diameter distribution to 3.5 mm. Given the limits described in a, what percentage of the parts would be rejected?

c. Suppose you want to reduce the percentage of rejected parts to 1%. What would the standard deviation of the diameter distribution have to be to meet this goal?

a. Quality control inspectors reject any part with a diameter less than 118 mm or more than 132 mm. What percentage of the parts is rejected?

b. Suppose your engineers could reduce the variation in diameters. Specifically, suppose they can reduce the standard deviation of the diameter distribution to 3.5 mm. Given the limits described in a, what percentage of the parts would be rejected?

c. Suppose you want to reduce the percentage of rejected parts to 1%. What would the standard deviation of the diameter distribution have to be to meet this goal?

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