2a) Analysis of variance is used when wehave samples from more than two populations, and we would like to study hypotheses regarding those population means using one test.

True or False?

b) Assume you have a t-test for the difference between two means:

H₀: ₁ - ₂ = 9

H_A: ₁ - ₂ 9

From a survey, you know that ₁ = 95, ₂ = 86, n₁ = 55, n₂ = 54, s₁ = 6, s₂ = 6

Find the standard error of the estimated mean difference SE (₁ - ₂).

Only round final answer to 3 decimals.