The manufacturer of a metal stand for home TV sets must be sure that its product
ID: 3208627 • Letter: T
Question
The manufacturer of a metal stand for home TV sets must be sure that its product will not fail under the weight of the TV. Since some larger sets weigh nearly 250 pounds, the company's safety inspectors have set a standard of enduring that the stand can support an average of over 475 pounds Their inspectors regularly subject a random sample of the standard to increasing weight until they fail. They test the hypothesis H_0:mu = 475 H_A: mu > 475.using the level of significance a = 0.01. If the lessthanorequalto of stands fails a pass this safety test the inspections will not certify the product against for ale the general public. Complete parts a through c below. is this an upper-tail test? the context of the problem why is theirs important? This is an upper-al test because the company wants to show the stands will hold 475 pounds (or more) easily. This is a lower-test because the weight of TV sets must be less strength at the stand This is an upper-tail test because the TV sets will be placed top of the stands this is lower-tail test because the company basis the strength the stands by starting with a weight below the desired strength and gradually increasing it Explain what will happen if the pectoris commit a Type l error, Choose the correct answer below. They will decide the stands will hold 250 pounds easily when in fact the stands can hold 475 pounds easily They will decide the stands will hold 475 pounds easily when in fact the stands can only hold 250 pounds easily. They will decide the stands are safe when they're not they decide the stands are when they are in fact safe Explain what will happen if the inspectors commit a type ill error choose the correct answer below. They will decide the stands are unsafe when they are in fact safe. They decide the stands will hold 250 pound easily when in fact the stands can hold 475 pound easily They will decide the stand are safe when they're not. They will decide the stand will hold 475 pound easily when in fact the stands can only hold 250 pounds easily.Explanation / Answer
a. As the alternate hypothesis involves a greater than (>) sign, the company wants to show that stands will hold 475 or more easily. So this is an upper tailed test.
Answer: Option A.
b. Type I error is the probability of rejecting the null hypothesis when it is actually true. In this case, it involves concluding that the stands are safe when they are not.
Answer: Option C.
c. Type II error is the probability of failing to reject the null hypothesis when it is actually false. In this case, it involves concluding that the stands are unsafe when they are actually safe.
Answer: Option A.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.