We have two seperate groups of 5 students who volunteered to run through an obstacle course. Below are their times in seconds. We hypothesize that the variance in the times for Group 1 is GREATER than for Group 2. At alpha=.10, is there enough evidence to support this hypothesis? USE P-VALUE METHOD. Group 1 ----- Anders ----- Bertha ----- Callo ----- Duff ----- Embry Time 15 20 10 15 8 Group 2 ----- Isolde ------ Jette ----- Kelsie ----- Lourdes ----- Malloy Time 8 19 13 7 10 Solution The test hypothesis is Ho: o1^2=o2^2 Ha: o1^2>o2^2 The test statistic is F=s1^2/s2^2 =4.722288^2/4.827007^2 =0.96 The p-value = P(F>0.96)=0.5153 (from F table) Since the p-value is larger than 0.1, we do not reject Ho. So we cannot conclude that there enough evidence to support this hypothesis.

1. We have two seperate groups of 5 students who volunteered to run through an obstacle course.
Below are their times in seconds. We hypothesize that the variance in the times for Group 1 is
GREATER than for Group 2. At alpha=.10, is there enough evidence to support this hypothesis?
USE P-VALUE METHOD.
Group 1 ----- Anders ----- Bertha ----- Callo ----- Duff ----- Embry
Time 15 20 10 15 8
Group 2 ----- Isolde ------ Jette ----- Kelsie ----- Lourdes ----- Malloy
Time 8 19 13 7 10
Solution
The test hypothesis is
Ho: o1^2=o2^2
Ha: o1^2>o2^2
The test statistic is
F=s1^2/s2^2
=4.722288^2/4.827007^2
=0.96
The p-value = P(F>0.96)=0.5153 (from F table)
Since the p-value is larger than 0.1, we do not reject Ho.
So we cannot conclude that there enough evidence to support this hypothesis