To test Ho: o=2.4 versus H₁: o>2.4, a random sample of size n = 16 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). (***) (a) If the sample standard deviation is determined to be s = 2.2, compute the test statistic. x=(Round to three decimal places as needed.) A Clear all Check answer Help me solve this View an example Get more help 2 2:12 PM 608/20?? 96°F Mostly sunny
To test Ho: o=2.4 versus H₁: o>2.4, a random sample of size n = 16 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). (***) (a) If the sample standard deviation is determined to be s = 2.2, compute the test statistic. x=(Round to three decimal places as needed.) A Clear all Check answer Help me solve this View an example Get more help 2 2:12 PM 608/20?? 96°F Mostly sunny
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Statistical Hypothesis Testing Example
To test \( H_0: \sigma = 2.4 \) versus \( H_1: \sigma > 2.4 \), a random sample of size n = 16 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d).
#### Part (a)
**(a) If the sample standard deviation is determined to be \( s = 2.2 \), compute the test statistic.**
The test statistic \( \chi^2_0 \) is calculated as:
\[ \chi^2_0 = \frac{(n-1)s^2}{\sigma^2} \]
Given:
- Sample size, \( n = 16 \)
- Sample standard deviation, \( s = 2.2 \)
- Population standard deviation under the null hypothesis, \( \sigma = 2.4 \)
So, the formula becomes:
\[ \chi^2_0 = \frac{(16-1)(2.2)^2}{(2.4)^2} \]
Compute the value of \( \chi^2_0 \) and round to three decimal places as needed.
- Help me solve this
- View an example
- Get more help
Clear all
Check answer
**Instructions:** Use the given data to compute the value. Be sure to use appropriate rounding and numerical computation techniques.
---
*Note: The image does not contain any graphs or diagrams requiring explanation.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2241529c-3605-4343-8b09-279b4f80df33%2Fd29a3e37-c7c7-4ef3-ab20-549a7e327087%2Fynepzb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Statistical Hypothesis Testing Example
To test \( H_0: \sigma = 2.4 \) versus \( H_1: \sigma > 2.4 \), a random sample of size n = 16 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d).
#### Part (a)
**(a) If the sample standard deviation is determined to be \( s = 2.2 \), compute the test statistic.**
The test statistic \( \chi^2_0 \) is calculated as:
\[ \chi^2_0 = \frac{(n-1)s^2}{\sigma^2} \]
Given:
- Sample size, \( n = 16 \)
- Sample standard deviation, \( s = 2.2 \)
- Population standard deviation under the null hypothesis, \( \sigma = 2.4 \)
So, the formula becomes:
\[ \chi^2_0 = \frac{(16-1)(2.2)^2}{(2.4)^2} \]
Compute the value of \( \chi^2_0 \) and round to three decimal places as needed.
- Help me solve this
- View an example
- Get more help
Clear all
Check answer
**Instructions:** Use the given data to compute the value. Be sure to use appropriate rounding and numerical computation techniques.
---
*Note: The image does not contain any graphs or diagrams requiring explanation.*
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