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Stats: Modeling The World | 3rd Edition | ISBN: 9780131359581 | Authors: David E. Bock
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25. TV safety. The manufacturer of a metal stand for

Chapter 23, Problem 25

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QUESTION:

25. TV safety. The manufacturer of a metal stand for homeTV sets must be sure that its product will not fail underthe weight of the TV. Since some larger sets weigh nearly300 pounds, the companys safety inspectors have set astandard of ensuring that the stands can support an averageof over 500 pounds. Their inspectors regularly subjecta random sample of the stands to increasing weight untilthey fail. They test the hypothesis against, using the level of significance . Ifthe sample of stands fail to pass this safety test, the inspectorswill not certify the product for sale to the generalpublic.a) Is this an upper-tail or lower-tail test? In the context ofthe problem, why do you think this is important?b) Explain what will happen if the inspectors commit aType I error.c) Explain what will happen if the inspectors commit aType II error.

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QUESTION:

25. TV safety. The manufacturer of a metal stand for homeTV sets must be sure that its product will not fail underthe weight of the TV. Since some larger sets weigh nearly300 pounds, the companys safety inspectors have set astandard of ensuring that the stands can support an averageof over 500 pounds. Their inspectors regularly subjecta random sample of the stands to increasing weight untilthey fail. They test the hypothesis against, using the level of significance . Ifthe sample of stands fail to pass this safety test, the inspectorswill not certify the product for sale to the generalpublic.a) Is this an upper-tail or lower-tail test? In the context ofthe problem, why do you think this is important?b) Explain what will happen if the inspectors commit aType I error.c) Explain what will happen if the inspectors commit aType II error.

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