The distribution of the difference between sample means from two normal populations is (d) normal.
What is the distribution of the difference between sample means from two normal populations?
If you have independent samples with means μ₁ and μ₂, and standard deviations σ₁ and σ₂, the mean of the difference (x₁ - x₂) is μ₁ - μ₂, and the standard deviation is the square root of ((σ₁²/n₁) + (σ₂²/n₂)), where n₁ and n₂ are the sample sizes.
This approximation holds for large sample sizes due to the Central Limit Theorem.
For small samples, the t-distribution is used instead.
Question
What is the distribution of the difference between sample means from two normal populations?
Multiple choice question.
- Skewed right
- Uniform
- Skewed left
- Normal