A group of engineers developed a new design for a steel cable. They need to estimate...

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A group of engineers developed a new design for a steel cable.They need to estimate the amount of weight the cable can hold. Theweight limit will be reported on cable packaging. The engineerstake a random sample of 50 cables and apply weights to each of themuntil they break. The 50 cables have a mean breaking weight of774.6 lb. The standard deviation of the breaking weight for thesample is 15.1 lb. Find the 99% confidence interval to estimate themean breaking weight for this type cable. Your answer should be to2 decimal places.

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