A random sample of size n 1 25 taken from a normal population with a standard deviation 1 5 has a mean x 1 80 A second random sample of size n 2 36, taken from a different normal population with a standard deviation 2 3, has a mean x 2 75 Find a 94 confidence interval for 1 2 ...

A random sample of size n 1 = 25 taken from a normal population with a standard

Question:

A random sample of size n₁ = 25 taken from a normal population with a standard deviation σ₁ = 5 has a mean x₁ = 80. A second random sample of size n₂ = 36, taken from a different normal population with a standard deviation σ₂ = 3, has a mean x₂ = 75. Find a 94% confidence interval for μ₁ – μ₂.