The breaking strengths of cables produced by a certain manufacturer have a mean, , of 1850 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 70 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1870 pounds. Can we support, at the 0.01 level of significance, the claim that the mean breaking strength has increased? (Assume that the standard deviation has not changed.) Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H O Ho : I X S (b) Determine the type of test statistic to use. (Choose one) 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0+0 00 (d) Find the p-value. (Round to three or more decimal places.) X 5 ? (e) Can we support the claim that the mean breaking strength has increased? OYes ONo