bolts of length more than [tex]13+0.2[/tex] , and less than [tex]13-0.2[/tex] 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= [tex]13 cm[/tex]
standard deviation= [tex]0.10 cm[/tex]
2 standard deviation from mean= [tex]13 \pm (2(0.10))[/tex]
Therefore, bolts of length more than [tex]13+0.2[/tex] , and less than [tex]13-0.2[/tex] will be destroyed
= 13.20 cm and 12.80 cm
