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 fro 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. What are your null and alternative hypothesis? O HO:μ_1== μ_2 HA: μ_1=\= μ_2 O HO: μ_i== μ_j for all i and j HA: μ_i=\= μ_j for all i and j O HO: μ_i== μ_j for all i and j HA: μ_i=\= μ_j for at least one ij O No answer text provided.

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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 pregnancy. Consider the 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):**
  - Birthweights: 7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6

- **Group 2: Mother is an ex-smoker (EX):**
  - Birthweights: 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):**
  - Birthweights: 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):**
  - Birthweights: 6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4

Using Stata, test whether the mean birthweights are equal across all four groups at the alpha = 0.05 level.

**What are your null and alternative hypotheses?**

- H0: μ_i == μ_j for all i and j
- HA: μ_i ≠ μ_j for at least one i, j

Options for hypotheses are given as follows:

- H0: μ_1 == μ_2
  - HA: μ_1 ≠ μ_2

- H0: μ_i == μ_j for all i and j
  - HA: μ_i ≠ μ_j for all i and j

- H0: μ_i == μ_j for all i and j
  - HA: μ_i ≠ μ_j for at least one i, j

- No answer text provided.
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 pregnancy. Consider the 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):** - Birthweights: 7.5, 6.2, 6.9, 7.4, 9.2, 8.3, 7.6 - **Group 2: Mother is an ex-smoker (EX):** - Birthweights: 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):** - Birthweights: 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):** - Birthweights: 6.2, 6.8, 5.7, 4.9, 6.2, 7.1, 5.8, 5.4 Using Stata, test whether the mean birthweights are equal across all four groups at the alpha = 0.05 level. **What are your null and alternative hypotheses?** - H0: μ_i == μ_j for all i and j - HA: μ_i ≠ μ_j for at least one i, j Options for hypotheses are given as follows: - H0: μ_1 == μ_2 - HA: μ_1 ≠ μ_2 - H0: μ_i == μ_j for all i and j - HA: μ_i ≠ μ_j for all i and j - H0: μ_i == μ_j for all i and j - HA: μ_i ≠ μ_j for at least one i, j - No answer text provided.
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