Answer:
Explanation:
The mean depression level for the first group is μ₁ = 16.
The mean depression level for the second group is μ₂ = 12
The weighted mean is closer to 12 than to 16.
The calculated weighted mean for CES-D is 13.5
The calculated weighted mean for MAST is 17.25 ≈ 17.0 rounded to 17.
Calculating the weighted mean μ
μ= {where x1 =μ₁ and x2= μ₂ }
μ= 16×6 + 10×12/ 6+10
μ= 216/16
μ= 13.5
The first group has a mean score of μ₁= 18.
The second group has a mean score of μ₂ = 14
Calculating the weighted mean μ
{where x1 =μ₁ and x2= μ₂ ; w1= number of women in the first group and w2= number of women in the second group}
μ=
μ= 18×6 + 14×12/ 6+10
μ= 276/16
μ= 17.25≈ 17