The mean birthweight of an infant is thought to be associated with the smoking status of the mother during the first trimester of the pregnancy. Consider the following data from mothers divided into four categories according to smoking habits, and the corresponding birthweights of their children. Group 1: Mother is a non smoker (NON): 7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6 Group 2: Mother is an ex-smoker (EX): 5.8, 7.3, 8.2, 7.1,7.8 Group 3: Mother is a current smoker, smokes less than 1 pack per day (CUR < 1) 5.9, 6.2, 5.8, 4.7, 8.3, 7.2, 6.2 Group 4: Mother is a current smoker, smokes more than or equal to 1 pack per day (Cur ≥ 1) 6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4 Using Stata test whether or not the mean birthweights are equal across all four groups at the alpha = 0.05 level. From this analysis: What is the variance between the four groups? What is the variance within the four groups? How many degrees of freedom do you have for the between group variance? How many degrees of freedom do you have for the within group variance?

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The mean birthweight of an infant is thought to be associated with the smoking status of the mother during the first trimester of the pregnancy. Consider the following data from
mothers divided into four categories according to smoking habits, and the corresponding birthweights of their children.
Group 1: Mother is a non smoker (NON):
7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6
Group 2: Mother is an ex-smoker (EX):
5.8, 7.3, 8.2, 7.1, 7.8
Group 3: Mother is a current smoker, smokes less than 1 pack per day (CUR < 1)
5.9, 6.2, 5.8, 4.7, 8.3, 7.2, 6.2
Group 4: Mother is a current smoker, smokes more than or equal to 1 pack per day (Cur ≥ 1)
6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4
Using Stata test whether or not the mean birthweights are equal across all four groups at the alpha = 0.05 level.
From this analysis: What is the variance between the four groups? What is the variance within the four groups? How many degrees of freedom do you have for the between
group variance? How many degrees of freedom do you have for the within group variance?
Between group variance
Within group variance
Between group degrees of freedom
Within group degrees of freedom
✓ [Choose ]
20.30
11.67
3
0.88
3.89
4.41
23
1.22
26
31.98
1.27
Transcribed Image Text:The mean birthweight of an infant is thought to be associated with the smoking status of the mother during the first trimester of the pregnancy. Consider the following data from mothers divided into four categories according to smoking habits, and the corresponding birthweights of their children. Group 1: Mother is a non smoker (NON): 7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6 Group 2: Mother is an ex-smoker (EX): 5.8, 7.3, 8.2, 7.1, 7.8 Group 3: Mother is a current smoker, smokes less than 1 pack per day (CUR < 1) 5.9, 6.2, 5.8, 4.7, 8.3, 7.2, 6.2 Group 4: Mother is a current smoker, smokes more than or equal to 1 pack per day (Cur ≥ 1) 6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4 Using Stata test whether or not the mean birthweights are equal across all four groups at the alpha = 0.05 level. From this analysis: What is the variance between the four groups? What is the variance within the four groups? How many degrees of freedom do you have for the between group variance? How many degrees of freedom do you have for the within group variance? Between group variance Within group variance Between group degrees of freedom Within group degrees of freedom ✓ [Choose ] 20.30 11.67 3 0.88 3.89 4.41 23 1.22 26 31.98 1.27
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