The stopping distances of a random sample of n 1 16 Fire Hawk compact cars have a mean of x 1 57 2 feet and a standard deviation of s 1 4 81 feet The stopping distances of a random sample of n 2 16 Lance compact cars have a mean of x 2 62 7 feet and a standard deviation of s 2 7 56 feet Here, each ...

The stopping distances of a random sample of n 1 = 16 Fire-Hawk compact cars have a

Question:

The stopping distances of a random sample of n₁ = 16 Fire-Hawk compact cars have a mean of x̅₁ = 57.2 feet and a standard deviation of s₁ = 4.81 feet. The stopping distances of a random sample of n₂ = 16 Lance compact cars have a mean of x̅₂ = 62.7 feet and a standard deviation of s₂ = 7.56 feet. Here, each stopping distance is measured from a speed of 35 mph. If σ²₁ and σ²₂ denote the corresponding population variances, test H_o: σ²₁ = σ²₂ versus H_a: σ²₁ < σ²₂ by setting a equal to .05 and using a critical value (assume normality).