Question

2. Psychologist was interested in exploring whether or not male and female college students have different driving behaviors. Is there sufficient evidence at the a= 0.05 level to conclude that the variance of the fastest speed driven by male college students differs from the variance of the fastest speed driven by female college students? Here is a descriptive summary of the results of her survey: Males (x) N=30 x = 108 Females (y) N = 25 y = 93.5 Sx = 23.5 Sy = 14

Answer 1

Given Males(x) N=30 x = 108 5x = 23.5 females (Y) N=25 7= 93.5 Sy=14 let By be population variance of the fastest speed driven by male college students sy be population ranance of the fastest Speed driven by female college students Hypothesis Hoi- 67=64 Vs Hi - 57 67 test statistici F = x² (23.52 (14)2 S52.25 196 - 2.8175 2.82 F = 2.82 at x = 0.05 critical valuecs)! Foll, D₂1 km Ezot 25-10.05 F2g, 24, 0.025

2.2174 ~ 2.2177 Cifrom f table df,=29 df2=24) FAI-1, D2-1 &/2 = 2.217 decision cal > critical f, then Reject Ho otherwise Do not reject Ho 2.82% 2.217 ic ca Ex critical F then Reject Ho conclusion Reject Ho Then there is sufficient evidence to conclude that the van ana of the fastest speed driven by male college students differs from the raniance of the fastest speed driven by female college Students