Reconsider the overall distance data for golf balls in Exercise 10-33. Is there evidence to support the claim that the standard deviation of overall distance is the same for both brands of balls (use α = 0.05)? Explain how this question can be answered with a 95% confidence interval on σ₁ / σ₂.

Exercise 10-33

The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion, Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. The data follow:

Brand 1: 275, 286, 287, 271, 283, 271, 279, 275, 263, 267

Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268