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 company’s safety inspectors have set a standard of ensuring that the stands can support an aver-age of over 500 pounds. Their inspectors regularly sub-ject a random sample of the stands to increasing weight until they fail. They test the hypothesis H0: m = 500against HA: m 7 500, using the level of significancea = 0.01. If the sample of stands fails to pass this safetytest, the inspectors will not certify the product for sale tothe general public.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.
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 company’s safety inspectors have set a standard of ensuring that the stands can support an aver-age of over 500 pounds. Their inspectors regularly sub-ject a random sample of the stands to increasing weight until they fail. They test the hypothesis H0: m = 500against HA: m 7 500, using the level of significancea = 0.01. If the sample of stands fails to pass this safetytest, the inspectors will not certify the product for sale tothe general public.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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Topic Video
Question
TV safety 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
300 pounds, the company’s safety inspectors have set a
TV sets must be sure that its product will not fail under
the weight of the TV. Since some larger sets weigh nearly
300 pounds, the company’s safety inspectors have set a
standard of ensuring that the stands can support an aver-
age of over 500 pounds. Their inspectors regularly sub-
ject a random sample of the stands to increasing weight
age of over 500 pounds. Their inspectors regularly sub-
ject a random sample of the stands to increasing weight
until they fail. They test the hypothesis H0: m = 500
against HA: m 7 500, using the level of significance
a = 0.01. If the sample of stands fails to pass this safety
test, the inspectors will not certify the product for sale to
the general public.a) Is this an upper-tail or lower-tail test? In the context of
the problem, why do you think this is important?
b) Explain what will happen if the inspectors commit a
Type I error.
c) Explain what will happen if the inspectors commit a
Type II error.
against HA: m 7 500, using the level of significance
a = 0.01. If the sample of stands fails to pass this safety
test, the inspectors will not certify the product for sale to
the general public.a) Is this an upper-tail or lower-tail test? In the context of
the problem, why do you think this is important?
b) Explain what will happen if the inspectors commit a
Type I error.
c) Explain what will happen if the inspectors commit a
Type II error.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL