Two independent samples have been selected, 83 observations from population 1 and 68 observations from population 2. The sample means have been calculated to be x¯1 = 13.8 and x¯2 = 8. From previous...

Two independent samples have been selected, 83 observations from population 1 and 68 observations from population 2. The sample means have been calculated to be x¯1 = 13.8 and x¯2 = 8. From previous experience with these populations, it is known that the variances are σ12 = 31 and σ22 = 29.

d.) Construct a 97 % confidence interval for (μ1−μ2).

_____ ≤(μ1−μ2)≤ ______