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 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?

Answer 1

Hello there.

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?

2.57

Answer 2

The answer would be:

The plant on Monday's production would be:

it ships because 480 is within 2.57 standard deviations of 500

I hope my answer has come to your help. God bless and have a nice day ahead!