The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1850 pounds and a standard deviation of 70 pounds. The company belleves that, due to an Improvement in the manufacturing process, the mean breaking strength, p, of the cables is now greater than 1850 pounds, To see if this is the case, 90 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1857 pounds, Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1850 pounds? Assume that the population standard deviation has not changed. Perform a one-called 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.) (5) State the null hypothesis Ho and the alternative hypothesis H. (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the claim that the population mean breaking strength of the newly manufactured cables is greater than 1850 pounds? Yes NoA coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.2 ounces of coffee per cup, BIG has good reason to believe that the mean amount of coffee dispensed by the machine, u, is different from 7.2 ounces, and plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.5 ounces and that the standard deviation is 0.4 ounces. Based on this information, complete the parts below. (a). What are the null hypothesis Ho and the alternative hypothesis //, that should be used for the test? Ho 0-0 050 020 (b) Suppose that BIG decides to reject the null hypothesis. What sort of error might it be making? (Choose one) X (C) Suppose the true mean amount of coffee dispensed by the machine is 7.2 ounces. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) the hypothesis that it is (Choose one) (Choose one) when, in fact, p is (Choose one)