A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviat

Question

2 years ago

8

A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviat

ions 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?

Mathematics

1 answer:

Doss [256] · Answer 1 · 2022-04-09T03:03:33+03:00

Answer:

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

A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are more than 4 standard deviat

A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviat