\"A greup of engineers deVeloped a new design for a steel cable. They need t0 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 49 cabies and apply weights to each of them until they break. The 49 cables have a mean breaking weight of 777.4 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. Your answer shbuld be rounded to:2 decimal places