A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 15 cm with a standard deviation of 0.10 cm. For what lengths will a bolt be destroyed?

Question

Mathematics

Cade Reeves

18 July, 23:45

A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 15 cm with a standard deviation of 0.10 cm. For what lengths will a bolt be destroyed?

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Answers (1)

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Jovanny Wiley · Answer 1

more than 15.40 cm and less than 14.60 cm

Step-by-step explanation:

A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 4 standard deviations from the mean.

mean length = 15 cm

standard deviation = 0.10 cm

4 standard deviation from mean = 15± (4*0.10)

therefore, bolts of length more than 15+0.4, and less than 15-0.4 will be destroyed

= 15.40 cm and 14.60 cm