obt s/VN Steps in T Test Step1: Determine the Null and Alternative Hypothesis Họ: u= Ha: u + Step 2: Two-tailed Step 3: Select significant level a Step 4: T test Step 5: Find the critical value and determine if Tobt falls in the "reject" or "fail to reject" region of the Null hypothesis. Step 6: Calculate the Test statistic N= S = Step 7-9: State the conclusion based on the result of the step 5. There is a statistically significant difference between the two means if the Null hypothesis is rejected (include a scientific notation.) There is NO statistically significant difference between the two means if the Null hypothesis is NOT rejected (fail to reject, include a scientific notation.)
obt s/VN Steps in T Test Step1: Determine the Null and Alternative Hypothesis Họ: u= Ha: u + Step 2: Two-tailed Step 3: Select significant level a Step 4: T test Step 5: Find the critical value and determine if Tobt falls in the "reject" or "fail to reject" region of the Null hypothesis. Step 6: Calculate the Test statistic N= S = Step 7-9: State the conclusion based on the result of the step 5. There is a statistically significant difference between the two means if the Null hypothesis is rejected (include a scientific notation.) There is NO statistically significant difference between the two means if the Null hypothesis is NOT rejected (fail to reject, include a scientific notation.)
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
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Steps in T Test
![**T Test Explanation**
**Scenario:**
- **Population:** μ = 100, s = 15
- **Sample:** N = 100, x̄ = 105
**Question:**
- Is there a difference between the population mean (μ = 100) and sample mean (x̄ = 105)?
- Is there a statistical difference between 100 and 105?
**Choosing the Test:**
- **Z test or T test?** Since σ (population standard deviation) is unknown, a **T test** is appropriate.
When the population standard deviation (σ) is unknown, we use \( s_x \) (SD of estimated population) for the T test.
**Hypothesis Testing for Comparison of Two Means:**
\[ T_{obt} = \frac{\bar{x} - \mu}{s / \sqrt{N}} : \ T_{\alpha} \text{ value from the given data (evidence score)} \]
---
**Steps in T Test:**
- **Step 1:** Determine the **Null** and **Alternative Hypothesis**
- \( H_0: \mu = \_\_\_\_ \)
- \( H_a: \mu \ne \_\_\_\_ \)
- **Step 2:** Two-tailed test
- **Step 3:** Select the significant level α
- **Step 4:** Conduct the T test
- **Step 5:** Find the critical value and determine if \( T_{obt} \) falls in the "reject" or "fail to reject" region of the Null hypothesis.
- **Step 6:** Calculate the Test statistic
- \( N = \_\_\_\_ \)
- \( \mu = \_\_\_\_ \)
- \( s = \_\_\_\_ \)
- **Step 7-9:** State the conclusion based on the result of step 5.
**Conclusions:**
- There is a **statistically significant difference** between the two means if the Null hypothesis is **rejected** (include a scientific notation).
- There is **NO statistically significant difference** between the two means if the Null hypothesis is **NOT rejected** (fail to reject, include a scientific notation).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb16d438a-6747-410f-961a-8af2d5e6e1f5%2F2a684d68-1321-4aae-ac46-a30baf9abdac%2Fns28iet_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**T Test Explanation**
**Scenario:**
- **Population:** μ = 100, s = 15
- **Sample:** N = 100, x̄ = 105
**Question:**
- Is there a difference between the population mean (μ = 100) and sample mean (x̄ = 105)?
- Is there a statistical difference between 100 and 105?
**Choosing the Test:**
- **Z test or T test?** Since σ (population standard deviation) is unknown, a **T test** is appropriate.
When the population standard deviation (σ) is unknown, we use \( s_x \) (SD of estimated population) for the T test.
**Hypothesis Testing for Comparison of Two Means:**
\[ T_{obt} = \frac{\bar{x} - \mu}{s / \sqrt{N}} : \ T_{\alpha} \text{ value from the given data (evidence score)} \]
---
**Steps in T Test:**
- **Step 1:** Determine the **Null** and **Alternative Hypothesis**
- \( H_0: \mu = \_\_\_\_ \)
- \( H_a: \mu \ne \_\_\_\_ \)
- **Step 2:** Two-tailed test
- **Step 3:** Select the significant level α
- **Step 4:** Conduct the T test
- **Step 5:** Find the critical value and determine if \( T_{obt} \) falls in the "reject" or "fail to reject" region of the Null hypothesis.
- **Step 6:** Calculate the Test statistic
- \( N = \_\_\_\_ \)
- \( \mu = \_\_\_\_ \)
- \( s = \_\_\_\_ \)
- **Step 7-9:** State the conclusion based on the result of step 5.
**Conclusions:**
- There is a **statistically significant difference** between the two means if the Null hypothesis is **rejected** (include a scientific notation).
- There is **NO statistically significant difference** between the two means if the Null hypothesis is **NOT rejected** (fail to reject, include a scientific notation).
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