A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 4 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 13 13 cm with a standard deviation of 0.10 0.10 cm. For what lengths will a bolt be destroyed?

Question

Mathematics

Adan Cantu

11 May, 22:18

A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 4 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 13 13 cm with a standard deviation of 0.10 0.10 cm. For what lengths will a bolt be destroyed?

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Answers (1)

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Bruno Chavez · Answer 1

13.4 centimeters

Step-by-step explanation:

In this case to calculate the distance we must take into account the data that they give us in the exercise.

The final length would be equal to the initial length added to the product of standard deviations from the mean and standard deviation given by the engineer, like this:

L = 13 + 4 * 0.10

L = 13 + 0.4

L 13.4

That means that lengths will a bolt be destroyed when the value is 13.4 centimeters