A rope factory produces ropes that have been measured to be able to lift 500 pounds, with a standard deviation of 6 pounds. One day, 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?

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

Question

A rope factory produces ropes that have been measured to be able to lift 500 pounds, with a standard deviation of 6 pounds. One day, 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?

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

anonymous · Answer

I'm thinking Either the second option or the third..

anonymous · Answer

I was thinking the second one, and so was my friend, so I think that one is the right one

anonymous · Answer

Glad I could halp