A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. Th
e weight limit will be reported on cable packaging. The engineers take a random sample of 44 cables and apply weights to each of them until they break. The 44 cables have a mean breaking weight of 778.1 lb. The standard deviation of the breaking weight for the sample is 15.5 lb. Find the 99% confidence interval to estimate the mean breaking weight for this type cable.
