The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1750 pounds and a standard deviation of 50 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, u, of of the cables is now greater than 1750 pounds. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the population mean breaking strength of the newly manufactured cable is greater than 1750 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test Carry your intermediate computations to 3 or more decimal places. State the null and alternative hypothesis.