3.4.14 Question Help A manufacturer of bolts has a quality-control policy that r

Question

3.4.14 Question Help 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 7 cm with a standard deviation of 0.05 cm. For what lengths will a bolt be destroyed? Select the corect choice below and fill in the answer box(es) to complete your choice. Round to one decimal place as needed.) OA A bolt will be destroyed if the lengthis less than 1cm or greater than m. O B. A bolt will be destroyed if the length is greater than cm. O C. A bolt will be destroyed if the length is less thancm OD. A bolt will be destroyed if the length is between l cm andr 1cm.

Explanation / Answer

for 4 std deviation above value from mean =mean+4*std deviaiton =7+4*0.05=7.2 cm

4 std deviation below value from mean =mean-4*std deviaiton =7-4*0.05=6.8 cm

hence option A is correct. A bolt will be destroyed if the length is less than 6.8 or greater than 7.2 cm

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