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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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
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
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 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.
O Ho: µ1 = µ2 = µ3
Ha: µ1 + 42 + µ3
O Ha: µ1, µ2, µ3 are not all equal.
Ho: µi = µ2 = µ3
O Ho: µ1 7 µ2 # µ3
Ha: µi = µ2 = µ3
O Ho: µi = µ2 = µ3
Ha: µ1, µ2, µ3 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-value =
5. Interpret the results of the significance test.
O 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.
O 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. O Ho: µ1 = µ2 = µ3 Ha: µ1 + 42 + µ3 O Ha: µ1, µ2, µ3 are not all equal. Ho: µi = µ2 = µ3 O Ho: µ1 7 µ2 # µ3 Ha: µi = µ2 = µ3 O Ho: µi = µ2 = µ3 Ha: µ1, µ2, µ3 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-value = 5. Interpret the results of the significance test. O 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. O 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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