Directions: Perform an analysis of variance (ANOVA) to determine if the differences in the infant mortality rates in African, Asian and Middle Eastern countries is statistically significant. 1. Click on the Data button below to display the data. Copy the data into a statistical software package and click the Data button a second time to hide it. Data Africa Asia MiddleEast 73 178.6 14 138 116 108.1 69 129 72 77 30 11.7 45.4 7.1 42 140 89 16.6 100 73 47 145 23 38 93 22 74 71 66 75 81 129 26 132 104.7 83 42 143 6.5 131 20.4 103 25 157 65 130 76 104 118 49 103 110 84 83 63
Directions: Perform an analysis of variance (ANOVA) to determine if the differences in the infant mortality rates in African, Asian and Middle Eastern countries is statistically significant. 1. Click on the Data button below to display the data. Copy the data into a statistical software package and click the Data button a second time to hide it. Data Africa Asia MiddleEast 73 178.6 14 138 116 108.1 69 129 72 77 30 11.7 45.4 7.1 42 140 89 16.6 100 73 47 145 23 38 93 22 74 71 66 75 81 129 26 132 104.7 83 42 143 6.5 131 20.4 103 25 157 65 130 76 104 118 49 103 110 84 83 63
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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![**Directions:** Perform an analysis of variance (ANOVA) to determine if the differences in the infant mortality rates in African, Asian and Middle Eastern countries is statistically significant.
1. Click on the Data button below to display the data. Copy the data into a statistical software package and click the Data button a second time to hide it.
[Data Button]
| **Africa** | **Asia** | **MiddleEast** |
|------------|----------|----------------|
| 73 | 178.6 | 14 |
| 138 | 116 | 108.1 |
| 69 | 129 | 72 |
| 77 | 30 | 11.7 |
| 45.4 | 7.1 | 42 |
| 140 | 89 | 16.6 |
| 100 | 73 | 47 |
| 145 | 23 | 38 |
| 93 | 22 | 74 |
| 71 | 66 | 75 |
| 81 | 129 | 26 |
| 132 | 104.7 | |
| 83 | 42 | |
| 143 | 6.5 | |
| 131 | 20.4 | |
| 103 | 25 | |
| 157 | 65 | |
| 130 | | |
| 76 | | |
| 104 | | |
| 118 | | |
| 49 | | |
| 103 | | |
| 110 | | |
| 84 | | |
| 83 | | |
| 63 | | |
The table presents infant mortality rates for African, Asian, and Middle Eastern countries. The dataset is used to perform an ANOVA test to determine if there are statistically significant differences in infant mortality rates between these regions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd50d0a98-87e2-4986-92b6-da417fe900df%2F0990f062-88a9-40c6-81ae-6e8cb8ac503e%2F3qgzknr_processed.png&w=3840&q=75)
Transcribed Image Text:**Directions:** Perform an analysis of variance (ANOVA) to determine if the differences in the infant mortality rates in African, Asian and Middle Eastern countries is statistically significant.
1. Click on the Data button below to display the data. Copy the data into a statistical software package and click the Data button a second time to hide it.
[Data Button]
| **Africa** | **Asia** | **MiddleEast** |
|------------|----------|----------------|
| 73 | 178.6 | 14 |
| 138 | 116 | 108.1 |
| 69 | 129 | 72 |
| 77 | 30 | 11.7 |
| 45.4 | 7.1 | 42 |
| 140 | 89 | 16.6 |
| 100 | 73 | 47 |
| 145 | 23 | 38 |
| 93 | 22 | 74 |
| 71 | 66 | 75 |
| 81 | 129 | 26 |
| 132 | 104.7 | |
| 83 | 42 | |
| 143 | 6.5 | |
| 131 | 20.4 | |
| 103 | 25 | |
| 157 | 65 | |
| 130 | | |
| 76 | | |
| 104 | | |
| 118 | | |
| 49 | | |
| 103 | | |
| 110 | | |
| 84 | | |
| 83 | | |
| 63 | | |
The table presents infant mortality rates for African, Asian, and Middle Eastern countries. The dataset is used to perform an ANOVA test to determine if there are statistically significant differences in infant mortality rates between these regions.
Transcribed Image Text:**2. Choose the correct null and alternative hypotheses.**
- \( H_0: \mu_1 = \mu_2 = \mu_3 \)
\( H_a: \mu_1 \neq \mu_2 \neq \mu_3 \)
- \( H_a: \mu_1, \mu_2, \mu_3 \text{ are not all equal.} \)
\( H_0: \mu_1 = \mu_2 = \mu_3 \)
- \( H_0: \mu_1 \neq \mu_2 \neq \mu_3 \)
\( H_a: \mu_1 = \mu_2 = \mu_3 \)
- \( H_0: \mu_1 = \mu_2 = \mu_3 \)
\( H_a: \mu_1, \mu_2, \mu_3 \text{ are not all equal.} \)
**3. Compute the test statistic.**
Compute the treatment sum of squares (SSTr) and the error sum of squares (SSE) and use them to complete the following ANOVA table. (Round your answers to 2 decimal places.)
| Source | S.S. | df | M.S. | F |
|-----------|------|----|------|-----|
| Treatment | | | | |
| Error | | | | |
| Total | | | | |
**4. Compute the p-value.** (Round your answer to 4 decimal places.)
\( p\text{-value} = \text{{______}} \)
**5. Interpret the results of the significance test.**
- ❍ The p-value provides strong evidence against the null hypothesis. The differences in the infant mortality rates of African, Asian and Middle Eastern countries is statistically significant. From a practical perspective, the infant mortality rate in Africa is approximately 2.1 times the infant mortality rate in the Middle East.
- ❍ The p-value provides little evidence against the null hypothesis. The differences in infant mortality rates of African, Asian and Middle Eastern countries is not statistically significant. From a practical perspective, the infant mortality rate in Africa is approximately 2.1 times the infant mortality rate in the Middle East.
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