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Directions: Perform an analysis of variance (ANOVA) to determine if the d rates in African, Asian and Middle Eastern countries is statistically significa 1. Click on the Data button below to display the data. Copy the data in and click the Data button a second time to hide it. Data

Directions: Perform an analysis of variance (ANOVA) to determine if the d rates in African, Asian and Middle Eastern countries is statistically significa 1. Click on the Data button below to display the data. Copy the data in and click the Data button a second time to hide it. Data

MATLAB: An Introduction with Applications
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 difference in 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 program and click the Data button a second time to hide it. **Data Table:** | 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 | | | 2. Choose the correct null and alternative hypotheses. (Note: The data table lists values categorized under Africa, Asia, and Middle East columns. Several entries for Africa and Asia do not have corresponding values for the Middle East, indicating variable sample sizes across regions.)
Transcribed Image Text:**Directions:** Perform an analysis of variance (ANOVA) to determine if the difference in 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 program and click the Data button a second time to hide it. **Data Table:** | 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 | | | 2. Choose the correct null and alternative hypotheses. (Note: The data table lists values categorized under Africa, Asia, and Middle East columns. Several entries for Africa and Asia do not have corresponding values for the Middle East, indicating variable sample sizes across regions.)
2. Choose the correct null and alternative hypotheses. - \( H_0: \mu_1 = \mu_2 = \mu_3 \) - \( H_a: \mu_1 \neq \mu_2 \neq \mu_3 \) - \( H_0: \mu_1, \mu_2, \mu_3 \) are not all equal. - \( H_0: \mu_1 = \mu_2 = \mu_3 \) - \( H_0: \mu_1 \neq \mu_2 \neq \mu_3 \) - \( H_a: \mu_1 = \mu_2 = \mu_3 \) - \( H_0: \mu_1 = \mu_2 = \mu_3 \) - \( H_a: \mu_1, \mu_2, \mu_3 \) 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). ANOVA Table: | Source | S.S. | df | M.S. | F | |------------|------|----|------|-----| | Treatment | | | | | | Error | | | | | | Total | | | | | 4. Compute the p-value. (Round your answer to 4 decimal places.) \( p\text{-value} = \underline{\hspace{3cm}} \) 5. Interpret the results of the significance test. - \( \circ \) 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. OR - \( \circ \) 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.
Transcribed Image Text:2. Choose the correct null and alternative hypotheses. - \( H_0: \mu_1 = \mu_2 = \mu_3 \) - \( H_a: \mu_1 \neq \mu_2 \neq \mu_3 \) - \( H_0: \mu_1, \mu_2, \mu_3 \) are not all equal. - \( H_0: \mu_1 = \mu_2 = \mu_3 \) - \( H_0: \mu_1 \neq \mu_2 \neq \mu_3 \) - \( H_a: \mu_1 = \mu_2 = \mu_3 \) - \( H_0: \mu_1 = \mu_2 = \mu_3 \) - \( H_a: \mu_1, \mu_2, \mu_3 \) 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). ANOVA Table: | Source | S.S. | df | M.S. | F | |------------|------|----|------|-----| | Treatment | | | | | | Error | | | | | | Total | | | | | 4. Compute the p-value. (Round your answer to 4 decimal places.) \( p\text{-value} = \underline{\hspace{3cm}} \) 5. Interpret the results of the significance test. - \( \circ \) 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. OR - \( \circ \) 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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