Background: Data on infant mortality mortality (measured as deaths per 1,000 under 1 year old) was collected by the United Nations Educational, Scientific, and Cultural Organization (UNESCO) for the 1990 Demographic Year Book and is provided below. Perform an analysis of variance procedure to determine whether or not the differences in the mortality rates of infants in African, Asian and Middle Eastern countries is statistically significant. 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. Africa Asia MiddleEast 73 180.6 17 136 114 107.1 69 126 70 72 29 10.7 49.4 6.1 44 138 89 14.6 106 73 48 144 21 41 89 24 72 73 67 75 81 124 27 129 107.7 85 43 143 2.5 137 15.4 108 26 155 60 130 75 106 121 50 101 107 85 79 68 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 Compute the p-value. (Round your answer to 4 decimal places.) p-value =
Background: Data on infant mortality mortality (measured as deaths per 1,000 under 1 year old) was collected by the United Nations Educational, Scientific, and Cultural Organization (UNESCO) for the 1990 Demographic Year Book and is provided below. Perform an analysis of variance procedure to determine whether or not the differences in the mortality rates of infants in African, Asian and Middle Eastern countries is statistically significant.
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.
Africa | Asia | MiddleEast |
---|---|---|
73 | 180.6 | 17 |
136 | 114 | 107.1 |
69 | 126 | 70 |
72 | 29 | 10.7 |
49.4 | 6.1 | 44 |
138 | 89 | 14.6 |
106 | 73 | 48 |
144 | 21 | 41 |
89 | 24 | 72 |
73 | 67 | 75 |
81 | 124 | 27 |
129 | 107.7 | |
85 | 43 | |
143 | 2.5 | |
137 | 15.4 | |
108 | 26 | |
155 | 60 | |
130 | ||
75 | ||
106 | ||
121 | ||
50 | ||
101 | ||
107 | ||
85 | ||
79 | ||
68 |
- 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 - Compute the p-value. (Round your answer to 4 decimal places.)
p-value =
3.
Compute 95% Bonferroni simultaneous confidence interval for each possible pair of regions of the world for multiple comparisons. Report the interval (rounded to 2 decimal places) for each pair.
Compare African versus Asian countries: <μ1-μ2<
Compare African versus Middle Eastern countries: <μ1-μ3<
Compare Asian versus Middle Eastern countries: <μ2-μ3<
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