Question

A manufacturing operation consists of a single machine tool system that produces an average of 15.5 transformer parts per hour. After undergoing a complete overhaul, the system was monitored by observing the number of parts produced in each of 17 randomly selected one-hour periods. The sample mean = 15.42 and the sample standard deviation - 0.16 for the sample of n=17 production runs. Does the sample provide sufficient evidence to conclude that the true mean number of parts produced each hour by the overhaul is not equal to 15.57 True or false: At a -0.10, the decision is reject Ho. От OF

Answer 1

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We want to deste Ho: U = 15.5. VS Hi ! ll # 15.5 we have n=17 X = Sample 15:42 S = Sample standaod deviation - 0:16 mean = S Test statistic is, t - 15.42 X-4 sta 15.5 0.16 NIE 2:06155 cmitical value =ta/2) = 1.746 1Z) = 2:06155 > tcd/2) = 1.746 Reject Ho : 1 At d = 0:10, the decision is reject Ho True. My T