g A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 47 cables and apply weights to each of them until they break. The 47 cables have a mean breaking weight of 770.1 lb. The standard deviation of the breaking weight for the sample is 16.2 lb. Find the 95% confidence interval to estimate the mean breaking weight for this type cable.