Water pipe to be used in certain application is required to have a mean breaking strength of more than 2000 pounds per foot. A test is made of ?0: ? = 2000 versus ?1: ? > 2000. a) What would a Type I error be in this scenario and what are the consequences of a Type I error? b) What would a Type II error be in this scenario and what are the consequences of a Type II error? c) In your opinion, which error is worse in this situation? For part c, I would think Type I error is worse in this situation because in general, Type I error is a lot more serious than Type II error, correct? Thanks for you help!

Water pipe to be used in certain application is required to have a mean breaking strength of more than 2000 pounds per foot. A test is made of ?0: ? = 2000 versus ?1: ? > 2000. a) What would a Type I error be in this scenario and what are the consequences of a Type I error? b) What would a Type II error be in this scenario and what are the consequences of a Type II error? c) In your opinion, which error is worse in this situation? For part c, I would think Type I error is worse in this situation because in general, Type I error is a lot more serious than Type II error, correct? Thanks for you help!

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

Water pipe to be used in certain application is required to have a mean breaking strength of more than 2000 pounds per foot. A test is made of ?0: ? = 2000 versus ?1: ? > 2000.

a) What would a Type I error be in this scenario and what are the consequences of a Type I error?

b) What would a Type II error be in this scenario and what are the consequences of a Type II error?

c) In your opinion, which error is worse in this situation?

For part c, I would think Type I error is worse in this situation because in general, Type I error is a lot more serious than Type II error, correct?

Thanks for you help!

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