A simple random sample of size n=16 is drawn from a population that is normally distributed. The sample variance is found to be 13.5. Test whether the population variance is greater than 11 at the a= 0.025 level of significance. Complete parts (a) through (d) below (a) Determine the null and alternative hypotheses. Ho: 0² = 11 H₁: 0² > 11 (b) Calculate the P-value P-value= (Round to three decimal places as needed.)
A simple random sample of size n=16 is drawn from a population that is normally distributed. The sample variance is found to be 13.5. Test whether the population variance is greater than 11 at the a= 0.025 level of significance. Complete parts (a) through (d) below (a) Determine the null and alternative hypotheses. Ho: 0² = 11 H₁: 0² > 11 (b) Calculate the P-value P-value= (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
100%
Please assist with finding the P-value
![### Statistical Hypothesis Testing: Variance
A simple random sample of size \( n = 16 \) is drawn from a population that is normally distributed. The sample variance is found to be 13.5. Test whether the population variance is greater than 11 at the \( \alpha = 0.025 \) level of significance. Complete parts (a) through (d) below.
(a) **Determine the null and alternative hypotheses.**
\[
\begin{align*}
H_0: \sigma^2 &= 11 \\
H_1: \sigma^2 &> 11 \\
\end{align*}
\]
(b) **Calculate the P-value.**
\[
\text{P-value} = \boxed{ \quad }
\]
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb4941db-493e-4a2b-a2c5-7e73113da3b9%2F17f36dbe-bd50-4106-9d08-bf6512e1ed1f%2Fshnacv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Statistical Hypothesis Testing: Variance
A simple random sample of size \( n = 16 \) is drawn from a population that is normally distributed. The sample variance is found to be 13.5. Test whether the population variance is greater than 11 at the \( \alpha = 0.025 \) level of significance. Complete parts (a) through (d) below.
(a) **Determine the null and alternative hypotheses.**
\[
\begin{align*}
H_0: \sigma^2 &= 11 \\
H_1: \sigma^2 &> 11 \\
\end{align*}
\]
(b) **Calculate the P-value.**
\[
\text{P-value} = \boxed{ \quad }
\]
(Round to three decimal places as needed.)
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 2 steps with 2 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Can you please explain how you got .235 from the chi-square table? I am having trouble using the table. Thank you so much.
Solution
by Bartleby ExpertRecommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman