Question: In a study to test whether or not there is a difference between the average heights of adult females in two different countries, random samples from each country were taken. The results are shown below:

Country 1: n₁ = 120 \[{{\bar{x}}_{1}}\] = 62.7 inches

Country 2: n₂ = 150 \[{{\bar{x}}_{2}}\] = 61.6 inches

Extensive studies of a similar kind have shown that it is reasonable to assume that σ₁ = 2.50 inches and σ₂ = 2.62 inches. Construct a 99% confidence interval for the true difference of the population means and interpret its meaning.