Question

A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The​ quality-control engineer knows that the bolts coming off the assembly line have mean length of 13 cm with a standard deviation of 0.10 cm. For what lengths will a bolt be​ destroyed?

Answer 1

bolts of length more than $13+0.2$ , and less than $13-0.2$ will be destroyed

= 13.20 cm and 12.80 cm

Step-by-step explanation:

Here we have , A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The​ quality-control engineer knows that the bolts coming off the assembly line have mean length of 13 cm with a standard deviation of 0.10 cm. We need to find For what lengths will a bolt be​ destroyed .Let's find out:

A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 2 standard deviations from the mean.

mean length= $13 cm$

standard deviation= $0.10 cm$

2 standard deviation from mean= $13 \pm (2(0.10))$

Therefore, bolts of length more than $13+0.2$ , and less than $13-0.2$ will be destroyed

= 13.20 cm and 12.80 cm