Please select the number of the null hypothesis and enter it in this box: Please select the number of the alternative hypothesis and enter it in this box: B. Enter the proper alpha level for this problem in the box: C. Find the critical t for this problem and enter it into this box: second decimal place) (Please round to It is essential that D. Calculate a t for this problem. Please enter into this box you round to the second decimal place. E. Below are some options about the null. Based on your findings, what decision to you make? 1. Accept the alternative; differences are due to chance 2. Reject the null, differences are due to chance 3. Reject the null, cannot reject chance as playing a role 4. Fail to the reject the null, cannot reject chance as playing a role 5. Reject the alternative; differences are due to chance Please select the number that best matches your decision and enter it into this box:
Please select the number of the null hypothesis and enter it in this box: Please select the number of the alternative hypothesis and enter it in this box: B. Enter the proper alpha level for this problem in the box: C. Find the critical t for this problem and enter it into this box: second decimal place) (Please round to It is essential that D. Calculate a t for this problem. Please enter into this box you round to the second decimal place. E. Below are some options about the null. Based on your findings, what decision to you make? 1. Accept the alternative; differences are due to chance 2. Reject the null, differences are due to chance 3. Reject the null, cannot reject chance as playing a role 4. Fail to the reject the null, cannot reject chance as playing a role 5. Reject the alternative; differences are due to chance Please select the number that best matches your decision and enter it into this box:
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
![**Hypothesis Testing Exercise**
1. **Null Hypothesis Selection**
- Please select the number of the null hypothesis and enter it in this box: [__________]
2. **Alternative Hypothesis Selection**
- Please select the number of the alternative hypothesis and enter it in this box: [__________]
3. **Alpha Level Determination**
- **B.** Enter the proper alpha level for this problem in the box: [__________]
4. **Critical t-Value Calculation**
- **C.** Find the critical t for this problem and enter it into this box: [__________] (Please round to second decimal place)
5. **t-Statistic Calculation**
- **D.** Calculate a t for this problem. Please enter into this box [__________] It is essential that you round to the second decimal place.
6. **Decision Making**
- **E.** Below are some options about the null. Based on your findings, what decision do you make?
1. Accept the alternative; differences are due to chance
2. Reject the null, differences are due to chance
3. Reject the null, cannot reject chance as playing a role
4. Fail to reject the null, cannot reject chance as playing a role
5. Reject the alternative; differences are due to chance
- Please select the number that best matches your decision and enter it into this box: [__________]
**Note:** Ensure that all calculations are accurate and answer selections are based on your computed results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c57e7ca-8069-4d2c-95ea-46d919ab53d4%2Fe371945f-08d7-4ed2-8366-a3ab9b361151%2F3g7x94o_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Exercise**
1. **Null Hypothesis Selection**
- Please select the number of the null hypothesis and enter it in this box: [__________]
2. **Alternative Hypothesis Selection**
- Please select the number of the alternative hypothesis and enter it in this box: [__________]
3. **Alpha Level Determination**
- **B.** Enter the proper alpha level for this problem in the box: [__________]
4. **Critical t-Value Calculation**
- **C.** Find the critical t for this problem and enter it into this box: [__________] (Please round to second decimal place)
5. **t-Statistic Calculation**
- **D.** Calculate a t for this problem. Please enter into this box [__________] It is essential that you round to the second decimal place.
6. **Decision Making**
- **E.** Below are some options about the null. Based on your findings, what decision do you make?
1. Accept the alternative; differences are due to chance
2. Reject the null, differences are due to chance
3. Reject the null, cannot reject chance as playing a role
4. Fail to reject the null, cannot reject chance as playing a role
5. Reject the alternative; differences are due to chance
- Please select the number that best matches your decision and enter it into this box: [__________]
**Note:** Ensure that all calculations are accurate and answer selections are based on your computed results.
![**Educational Content on Field Testing of Artificial Blood**
### Introduction to Statistical Analysis
In experiments, it's crucial to analyze data accurately to determine the effectiveness of a treatment. Here are some statistical formulas frequently used in such analyses:
- **Single Sample t-test**:
\[
t = \frac{\bar{X} - \mu}{sd/\sqrt{n}}
\]
Degrees of freedom (df) = \( n - 1 \)
- **Independent Samples t-test**:
\[
t = \frac{\bar{X} - \bar{Y}}{\sqrt{SDx^2 + SDy^2/n}}
\]
Degrees of freedom (df) = \( n_1 + n_2 - 2 \)
- **Related Samples t-test**:
\[
t = \frac{\bar{D}}{SD_D/\sqrt{n}}
\]
Degrees of freedom (df) = \( n - 1 \)
### Case Study: Testing Artificial Blood
**Context**: Denver Paramedics is testing a Department of Defense artificial blood product intended for trauma patients. This product, usable for any blood type, could be pivotal in battlefield situations. Its effectiveness is compared against a saline solution that raises blood pressure.
**Methodology**:
- Patients were randomly assigned to receive either traditional saline or experimental artificial blood.
- Blood pressure readings were taken before and after administration.
- An increase in systolic blood pressure signifies improvement.
**Data**:
- **Artificial Blood**:
- Data Points: 28, -16, 34, 46, 2, 34, 16
- Mean = 20.57, SD = 21.47
- **Saline Control**:
- Data Points: -14, 20, -22, 24, 18, 6, 26
- Mean = 8.29, SD = 19.19
**Overall Findings**:
- Difference (\(\bar{D}\)) = 12.29, \(SD_D\) = 33.57
### Hypotheses for Analysis
1. \(H_0: \overline{X} = \overline{Y} = \emptyset\)
2. \(H_1: \overline{X} \ne \emptyset\)
3. \(H](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c57e7ca-8069-4d2c-95ea-46d919ab53d4%2Fe371945f-08d7-4ed2-8366-a3ab9b361151%2Fo79atqb_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content on Field Testing of Artificial Blood**
### Introduction to Statistical Analysis
In experiments, it's crucial to analyze data accurately to determine the effectiveness of a treatment. Here are some statistical formulas frequently used in such analyses:
- **Single Sample t-test**:
\[
t = \frac{\bar{X} - \mu}{sd/\sqrt{n}}
\]
Degrees of freedom (df) = \( n - 1 \)
- **Independent Samples t-test**:
\[
t = \frac{\bar{X} - \bar{Y}}{\sqrt{SDx^2 + SDy^2/n}}
\]
Degrees of freedom (df) = \( n_1 + n_2 - 2 \)
- **Related Samples t-test**:
\[
t = \frac{\bar{D}}{SD_D/\sqrt{n}}
\]
Degrees of freedom (df) = \( n - 1 \)
### Case Study: Testing Artificial Blood
**Context**: Denver Paramedics is testing a Department of Defense artificial blood product intended for trauma patients. This product, usable for any blood type, could be pivotal in battlefield situations. Its effectiveness is compared against a saline solution that raises blood pressure.
**Methodology**:
- Patients were randomly assigned to receive either traditional saline or experimental artificial blood.
- Blood pressure readings were taken before and after administration.
- An increase in systolic blood pressure signifies improvement.
**Data**:
- **Artificial Blood**:
- Data Points: 28, -16, 34, 46, 2, 34, 16
- Mean = 20.57, SD = 21.47
- **Saline Control**:
- Data Points: -14, 20, -22, 24, 18, 6, 26
- Mean = 8.29, SD = 19.19
**Overall Findings**:
- Difference (\(\bar{D}\)) = 12.29, \(SD_D\) = 33.57
### Hypotheses for Analysis
1. \(H_0: \overline{X} = \overline{Y} = \emptyset\)
2. \(H_1: \overline{X} \ne \emptyset\)
3. \(H
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