Identify the critical value(s). If there are multiple critical values, separate them using commas. I
Identify the critical value(s). If there are multiple critical values, separate them using commas. I
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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answer part 3
![Suppose you perform the hypothesis test \( H_0: \mu = 80 \) versus \( H_1: \mu \neq 80 \). The population variance, \( \sigma^2 \), is unknown. The sample size is \( n = 13 \). Assume the significance level is 0.09.
**Part 1:**
1) Should you use \( z \) or \( t \) to find the critical value?
- \( z \)
- \( t \) (selected)
**Part 2:**
2) Choose the correct critical region.
- Reject \( H_0 \) if \( t > t_\alpha \)
- Reject \( H_0 \) if \( t \geq t_\alpha \)
- Reject \( H_0 \) if \( t > t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t \geq t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t < -t_\alpha \)
- Reject \( H_0 \) if \( t \leq -t_\alpha \)
- Reject \( H_0 \) if \( t < -t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t \leq -t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t < -t_\alpha \) or \( t > t_\alpha \)
- Reject \( H_0 \) if \( t \leq -t_\alpha \) or \( t \geq t_\alpha \)
- Reject \( H_0 \) if \( t < -t_{\frac{\alpha}{2}} \) or \( t > t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t \leq -t_{\frac{\alpha}{2}} \) or \( t \geq t_{\frac{\alpha}{2}} \) (selected)
**Part 3:**
3) Identify the critical value(s). If there are multiple critical values, separate them using commas. If using \( z \), round to 2 decimals; if using \( t \), round to 3 decimals.
[Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0393b910-875a-4ed6-a578-5b5396be78bf%2F573b704c-c952-4c3d-9bad-49ab3539422c%2Fqb5w59v_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose you perform the hypothesis test \( H_0: \mu = 80 \) versus \( H_1: \mu \neq 80 \). The population variance, \( \sigma^2 \), is unknown. The sample size is \( n = 13 \). Assume the significance level is 0.09.
**Part 1:**
1) Should you use \( z \) or \( t \) to find the critical value?
- \( z \)
- \( t \) (selected)
**Part 2:**
2) Choose the correct critical region.
- Reject \( H_0 \) if \( t > t_\alpha \)
- Reject \( H_0 \) if \( t \geq t_\alpha \)
- Reject \( H_0 \) if \( t > t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t \geq t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t < -t_\alpha \)
- Reject \( H_0 \) if \( t \leq -t_\alpha \)
- Reject \( H_0 \) if \( t < -t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t \leq -t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t < -t_\alpha \) or \( t > t_\alpha \)
- Reject \( H_0 \) if \( t \leq -t_\alpha \) or \( t \geq t_\alpha \)
- Reject \( H_0 \) if \( t < -t_{\frac{\alpha}{2}} \) or \( t > t_{\frac{\alpha}{2}} \)
- Reject \( H_0 \) if \( t \leq -t_{\frac{\alpha}{2}} \) or \( t \geq t_{\frac{\alpha}{2}} \) (selected)
**Part 3:**
3) Identify the critical value(s). If there are multiple critical values, separate them using commas. If using \( z \), round to 2 decimals; if using \( t \), round to 3 decimals.
[Input Box]
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