Suppose 4, and fare the true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Consider the following data: m = 6, x = 116.5, S₁ = 5.09, n = 6, y = 128.9, and S₂ = 5.47. Calculate a two sided 95% Cl for the difference between true average stopping distance for cars equipped with system 1 and cars equipped with system 2. Assume equal population variance for stooging distances from these two braking systems.