Casio ALGEBRA FX2.0 Advanced Statistics Examples 1 - Manual (Page 21)

○ ○ ○ ○ ○
Example There are two possible routes to get to the airport from a certain
company, and so manager wants to determine which route is the
fastest in order to make a plane that leaves at 7 o'clock. One route was
researched five times and then the other route was researched five
times, producing the data shown below.
mean of x1 = 33.8min mean of x2 = 34.2min
x1
σ
n -1
= 16.4min x2
σ
n -1
= 6.1min
Test the null hypothesis that the two routes have the same travel time
variance using the level of significance of 0.10.
Procedure
1 m STAT2
2 3 (TEST) e ( F )
3 2 (VAR) c
1 (
≠
) c
bg.e w
f w
g.b w
f w
1 (None) c
4 1 (CALC)
6 (DRAW)
Result Screen
21
examples
Since P = 0.08144232 < 0.1 (level of significance), we can reject the null hypothesis and
conclude that two routes don’t have same travel time variance.