Solved: Because of variability in the manufacturing process, theactual yielding point of
Chapter 8, Problem 56(choose chapter or problem)
Because of variability in the manufacturing process, theactual yielding point of a sample of mild steel subjected toincreasing stress will usually differ from the theoreticalyielding point. Let p denote the true proportion of samplesthat yield before their theoretical yielding point. If on thebasis of a sample it can be concluded that more than 20% ofall specimens yield before the theoretical point, the productionprocess will have to be modified.a. If 15 of 60 specimens yield before the theoretical point,what is the P-value when the appropriate test is used, andwhat would you advise the company to do?b. If the true percentage of early yields is actually 50%(so that the theoretical point is the median of the yielddistribution) and a level .01 test is used, what is the probabilitythat the company concludes a modification of theprocess is necessary?
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