II. What relationship exists between the two variables? Finals Student Midterm (x) (y) f² y² xy 1 75 80 5625 6400 6000 2 70 75 4900 5625 5250 3 65 65 4225 4225 4225 90 95 8100 9025 8550 85 90 7225 8100 7650 85 85 7225 7225 7225 80 90 6400 8100 7200 70 75 4900 5625 5250 65 70 4225 4900 4550 90 90 8100 8100 8100 Ex-775 Ey-815 Ex=60925 Ey-67325 Exy = 64000 5624557 8 9 10

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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### Hypothesis Testing Guide

#### Follow the steps in hypothesis testing. Answer the following:

**Problem # _______**

1. **What is the appropriate statistical test to use?**

   _____________________________________________

2. **State Null Hypothesis:**

   _____________________________________________

3. **State Alternative Hypothesis:**

   _____________________________________________

4. **What is the computed value?** ____________________

5. **What is the Critical Value?** ______________________

6. **What is the Decision?**

   - Reject Null Hypothesis
   - Accept Null Hypothesis

7-10. **Conclusion/Interpretation:**

   _____________________________________________

   _____________________________________________

   _____________________________________________

---

**Problem 1:**
Determine if there is a significant difference in the scores of the MAED students in a Statistics exam administered by their professor.

**Use 5% level of Significance**

| MAED PE 1A | MAED PE 1B |
|------------|------------|
| 80         | 75         |
| 89         | 78         |
| 90         | 89         |
| 89         | 84         |

---

### Instructions:
- Complete each section based on the given scores and the hypothesis testing procedure.
- Use appropriate statistical methods to determine significance.
Transcribed Image Text:### Hypothesis Testing Guide #### Follow the steps in hypothesis testing. Answer the following: **Problem # _______** 1. **What is the appropriate statistical test to use?** _____________________________________________ 2. **State Null Hypothesis:** _____________________________________________ 3. **State Alternative Hypothesis:** _____________________________________________ 4. **What is the computed value?** ____________________ 5. **What is the Critical Value?** ______________________ 6. **What is the Decision?** - Reject Null Hypothesis - Accept Null Hypothesis 7-10. **Conclusion/Interpretation:** _____________________________________________ _____________________________________________ _____________________________________________ --- **Problem 1:** Determine if there is a significant difference in the scores of the MAED students in a Statistics exam administered by their professor. **Use 5% level of Significance** | MAED PE 1A | MAED PE 1B | |------------|------------| | 80 | 75 | | 89 | 78 | | 90 | 89 | | 89 | 84 | --- ### Instructions: - Complete each section based on the given scores and the hypothesis testing procedure. - Use appropriate statistical methods to determine significance.
**Educational Content: Analyzing the Relationship Between Two Variables**

In this exercise, we aim to assess the relationship between two variables: students' midterm and final exam scores. The data is presented in a tabular format to facilitate analysis.

### Data Table:
| Student | Midterm (x) | Finals (y) | x²   | y²   | xy   |
|---------|-------------|------------|------|------|------|
| 1       | 75          | 80         | 5625 | 6400 | 6000 |
| 2       | 70          | 75         | 4900 | 5625 | 5250 |
| 3       | 65          | 65         | 4225 | 4225 | 4225 |
| 4       | 90          | 95         | 8100 | 9025 | 8550 |
| 5       | 85          | 80         | 7225 | 8100 | 7650 |
| 6       | 85          | 85         | 7225 | 7225 | 7225 |
| 7       | 90          | 90         | 8100 | 8100 | 8100 |
| 8       | 75          | 70         | 5625 | 4900 | 5250 |
| 9       | 95          | 90         | 9025 | 8100 | 8550 |

### Summary Values:
- Σx = 775
- Σy = 815
- Σx² = 60925
- Σy² = 67325
- Σxy = 64000

#### Analysis Steps:

1. **Appropriate Statistical Test:**
   - Identify the statistical test that will help analyze the relationship between midterm and final scores.

2. **Computing the Correlation Coefficient (r):**
   - Formula: The correlation coefficient, denoted as 'r', is calculated to quantify the strength and direction of the relationship between the two variables.
   - Space provided for the computed r value: ___________

3. **Conclusion/Interpretation:**
   - Analyze the resultant 'r' value based on the following criteria:
     - If 0 < r < 0.25, there's a weak correlation.
     - If 0.25 ≤ r <
Transcribed Image Text:**Educational Content: Analyzing the Relationship Between Two Variables** In this exercise, we aim to assess the relationship between two variables: students' midterm and final exam scores. The data is presented in a tabular format to facilitate analysis. ### Data Table: | Student | Midterm (x) | Finals (y) | x² | y² | xy | |---------|-------------|------------|------|------|------| | 1 | 75 | 80 | 5625 | 6400 | 6000 | | 2 | 70 | 75 | 4900 | 5625 | 5250 | | 3 | 65 | 65 | 4225 | 4225 | 4225 | | 4 | 90 | 95 | 8100 | 9025 | 8550 | | 5 | 85 | 80 | 7225 | 8100 | 7650 | | 6 | 85 | 85 | 7225 | 7225 | 7225 | | 7 | 90 | 90 | 8100 | 8100 | 8100 | | 8 | 75 | 70 | 5625 | 4900 | 5250 | | 9 | 95 | 90 | 9025 | 8100 | 8550 | ### Summary Values: - Σx = 775 - Σy = 815 - Σx² = 60925 - Σy² = 67325 - Σxy = 64000 #### Analysis Steps: 1. **Appropriate Statistical Test:** - Identify the statistical test that will help analyze the relationship between midterm and final scores. 2. **Computing the Correlation Coefficient (r):** - Formula: The correlation coefficient, denoted as 'r', is calculated to quantify the strength and direction of the relationship between the two variables. - Space provided for the computed r value: ___________ 3. **Conclusion/Interpretation:** - Analyze the resultant 'r' value based on the following criteria: - If 0 < r < 0.25, there's a weak correlation. - If 0.25 ≤ r <
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