A driving machine was employed to hit a sample of 41 each of two different brands of golf balls using the same force each time. The research team measured the distance between the point of impact and where the ball eventually came to rest on the ground. Results are show below:

Brand A
Mean distance 285
Standard deviation 17.3

Brand B
Mean distance 281
Standard deviation 11.6

At the 0.05 level of signifigance, state and test the appropriate hypothesis needed to determine if the variance of the distance traveled by brand A exceeds that of brand B