A rope factory produces ropes that have been measured to be able to lift 500 pounds, with a standard deviation of 6 pounds. One Monday, the quality department measures the strength of 30 ropes, and finds them to have an average of 480 pounds with a standard deviation of 1 pound. If the plant only ships production that it is 99% sure is able to lift 500 pounds, what does it do with Monday’s production?

Question

anonymous · Answer

it ships the production because 480 is close to 500

it doesn’t ship because 480 is less than 500

it ships because 480 is within 2.57 standard deviations of 500

it does not ship because 480 is more than 2.57 deviations from 500

amistre64 · Answer

what have you considered as an approach to a solution so far?