Suppose you perform the hypothesis test Ho: µ = 90 versus H1 :H > 90. The population variance, o², is unknown. The sample size is = 6. Assume the significance level is 0.01. Part 1: 1) Should you use z or t to find the critical value? Part 2 of 4 Part 2: 2) Choose the correct critical region. O Reject Ho if t > ta Reject Ho if t < - ta | Reject Ho if t > ta Reject Ho if t < Reject Ho if t > ta Reject Ho if t < - ta or t > ta Reject Ho if t > ta Reject Ho if t < – ta or t > ta Reject Ho if t < - tg ort > tg Reject Ho if t < – ta O Reject Ho if t < - ta O Reject Ho if t <- tę or t > te Part 3 of 4 Part 3: 3) Identify the critical value. If there are multiple critical values, separate them using commas. If using z, round to 2 decimals; if using t, round to 3 decimals.
Suppose you perform the hypothesis test Ho: µ = 90 versus H1 :H > 90. The population variance, o², is unknown. The sample size is = 6. Assume the significance level is 0.01. Part 1: 1) Should you use z or t to find the critical value? Part 2 of 4 Part 2: 2) Choose the correct critical region. O Reject Ho if t > ta Reject Ho if t < - ta | Reject Ho if t > ta Reject Ho if t < Reject Ho if t > ta Reject Ho if t < - ta or t > ta Reject Ho if t > ta Reject Ho if t < – ta or t > ta Reject Ho if t < - tg ort > tg Reject Ho if t < – ta O Reject Ho if t < - ta O Reject Ho if t <- tę or t > te Part 3 of 4 Part 3: 3) Identify the critical value. If there are multiple critical values, separate them using commas. If using z, round to 2 decimals; if using t, round to 3 decimals.
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
answer part 3

Transcribed Image Text:Suppose you perform the hypothesis test \( H_0: \mu = 90 \) versus \( H_1: \mu > 90 \). The population variance, \( \sigma^2 \), is unknown. The sample size is \( n = 6 \). Assume the significance level is 0.01.
**Part 1:**
1) Should you use \( z \) or \( t \) to find the critical value?
- \( z \)
- \(\mathbf{t} \) (selected)
**Part 2:**
2) Choose the correct critical region.
- Reject \( H_0 \) if \( t > t_{\alpha} \)
- Reject \( H_0 \) if \( t \geq t_{\alpha} \)
- \(\mathbf{Reject \ H_0 \ if \ t > t_{\frac{\alpha}{2}} }\) (selected)
- 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 \( t \geq t_{\frac{\alpha}{2}} \)
**Part 3:**
3) Identify the critical value. If there are multiple critical values, separate them using commas. If using \( z \), round to 2 decimals; if using \( t \), round to 3 decimals.
\[ \text{(Input Box)} \
Expert Solution

Step 1
1)
Denote μ as the population mean.
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