Question: Suppose that the director of manufacturing at a clothing factory needed to determine whether a new machine was producing a particular type of cloth according to the manufacturer's specifications, which indicated that the cloth should have a mean breaking strength of 70 pounds. A random sample of 36 pieces revealed a sample mean and standard deviation of 69.7 pounds and 3.5 pounds, respectively. Is there evidence that the new machine is producing cloth with a mean breaking strength of 70 pounds? Use an 8-step hypothesis test to arrive at your answer and let a = .05)