Age According to the Bureau of Labor Statistics, the average age of American workers is 41.9 years. The manager of a large technology company believes that the company's employees tend to be younger, on average. So she takes a random sample of 12 employees and records their ages. Here are the data: 27 38 32 24 30 47 42 38 27 43 37 33 a. State appropriate hypotheses for testing the manager's belief. Be sure to define the parameter of interest. b. State the conditions for performing a test of the hypotheses in (a), and determine whether each condition is met. c. The P-value of the test is 0.003. Interpret this value. What conclusion would you make?
Age According to the Bureau of Labor Statistics, the average age of American workers is 41.9 years. The manager of a large technology company believes that the company's employees tend to be younger, on average. So she takes a random sample of 12 employees and records their ages. Here are the data: 27 38 32 24 30 47 42 38 27 43 37 33 a. State appropriate hypotheses for testing the manager's belief. Be sure to define the parameter of interest. b. State the conditions for performing a test of the hypotheses in (a), and determine whether each condition is met. c. The P-value of the test is 0.003. Interpret this value. What conclusion would you make?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
Related questions
Question
![Age According to the Bureau of Labor Statistics, the average age of American workers is 41.9 years.
The manager of a large technology company believes that the company's employees tend to be
younger, on average. So she takes a random sample of 12 employees and records their ages. Here are
the data: 27 38 32 24 30 47 42 38 27 43 37 33
a. State appropriate hypotheses for testing the manager's belief. Be sure to define the parameter of
interest.
b. State the conditions for performing a test of the hypotheses in (a), and determine whether each
condition is met.
c. The P-value of the test is 0.003. Interpret this value. What conclusion would you make?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ea0028a-efa6-47d6-9031-ae163d549c4e%2Fd91e0fa8-fc36-4315-885a-51f73b2aa45e%2Ffjvkakw_processed.png&w=3840&q=75)
Transcribed Image Text:Age According to the Bureau of Labor Statistics, the average age of American workers is 41.9 years.
The manager of a large technology company believes that the company's employees tend to be
younger, on average. So she takes a random sample of 12 employees and records their ages. Here are
the data: 27 38 32 24 30 47 42 38 27 43 37 33
a. State appropriate hypotheses for testing the manager's belief. Be sure to define the parameter of
interest.
b. State the conditions for performing a test of the hypotheses in (a), and determine whether each
condition is met.
c. The P-value of the test is 0.003. Interpret this value. What conclusion would you make?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 5 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)