A ski lift manufacturer produces steel cables that historically have been shown to have mean breaking strength of 1800 lbs. With a standard deviation of 100lbs. One of companys bright young engineers claims to have developed the new manufacturing procedure to raise the strength of the cables. To validate his claim, you randomly sample and test 50 cable segments. in your sample testing you find the mean breaking strength to be 1850 lbs. Can you support the engineers claim at the 1% level of significance?