2.Suppose the following paired sample data are taken from two populations.

Population 1: 35, 32, 35, 35, 36, 35, 35

Population 2: 28, 26, 27, 26, 29, 27, 29

a)Construct the 95% Confidence Interval for ₁ - _{2 = d} from the data.

b)Test, at the 10% level of significance, the hypothesis that ₁ - ₂ > 7 as an alternative to the null hypothesis that ₁ - ₂ = 7.