A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. a. What are the null and alternative hypotheses? A. Ho: 0 = 0.25 mg H:0+0.25 mg O B. Ho: o#0.25 mg H:0=0.25 mg О с. На в>0.25 mg H:os0.25 mg O D. Ho: 0 =0.25 mg H;:o<0.25 mg b. Find the test statistic. 2= (Round to three decimal places as needed.)
A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. a. What are the null and alternative hypotheses? A. Ho: 0 = 0.25 mg H:0+0.25 mg O B. Ho: o#0.25 mg H:0=0.25 mg О с. На в>0.25 mg H:os0.25 mg O D. Ho: 0 =0.25 mg H;:o<0.25 mg b. Find the test statistic. 2= (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Find Test Statistic, P value, and Z score.
![A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below.
a. What are the null and alternative hypotheses?
- **A.** \( H_0: \sigma = 0.25 \, \text{mg} \)
\( H_1: \sigma \neq 0.25 \, \text{mg} \)
- ○ B. \( H_0: \sigma \neq 0.25 \, \text{mg} \)
\( H_1: \sigma = 0.25 \, \text{mg} \)
- ○ C. \( H_0: \sigma > 0.25 \, \text{mg} \)
\( H_1: \sigma < 0.25 \, \text{mg} \)
- ○ D. \( H_0: \sigma = 0.25 \, \text{mg} \)
\( H_1: \sigma < 0.25 \, \text{mg} \)
b. Find the test statistic.
\[ \chi^2 = \text{[Round to three decimal places as needed.]} \]
(Answer field for entering the calculated test statistic.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3789ab04-45fa-4e38-bc7e-0e52930d736c%2Fc21deb36-5ef3-4dde-b3fb-50836d009264%2F5m05if_processed.png&w=3840&q=75)
Transcribed Image Text:A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below.
a. What are the null and alternative hypotheses?
- **A.** \( H_0: \sigma = 0.25 \, \text{mg} \)
\( H_1: \sigma \neq 0.25 \, \text{mg} \)
- ○ B. \( H_0: \sigma \neq 0.25 \, \text{mg} \)
\( H_1: \sigma = 0.25 \, \text{mg} \)
- ○ C. \( H_0: \sigma > 0.25 \, \text{mg} \)
\( H_1: \sigma < 0.25 \, \text{mg} \)
- ○ D. \( H_0: \sigma = 0.25 \, \text{mg} \)
\( H_1: \sigma < 0.25 \, \text{mg} \)
b. Find the test statistic.
\[ \chi^2 = \text{[Round to three decimal places as needed.]} \]
(Answer field for entering the calculated test statistic.)
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 3 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman