A manufacturer of bolts has a quality-control policy that requiresit to destroy

Question

A manufacturer of bolts has a quality-control policy that requiresit 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 14 cm with a standard deviation of 0.05 cm. For what lengths will a bolt be destroyed? Select the correct choice below and ill in the answer box(es) to complete your choice Round to one decimal place as needed) OA. Aboltwillbedestroyedifthelengthisgreaterthan1 OB. Aboltwillbe destroyedifthe length is less than-orgreaterthar an. OC. A bot will e destroyed i thelngth isbtveen cm andcm OD. A botvill be destroyed i thelength is less tian cm

Explanation / Answer

Ans:

Given that

mean=14 and standard deviation=0.05

Lower limit=14-4*0.05=14-0.2=13.8

Upper limit-14+4*0.05=14+0.2=14.2

Option B is correct.

A bolt will be destroyed if the length is less than 13.8 cm or greater than 14.2 cm.

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