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?
Accepted Solution
A:
Answer:more than 15.40 cm and less than 14.60 cmStep-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 cmstandard deviation= 0.10 cm4 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