Casio ALGEBRA FX2.0 Advanced Statistics Examples 1 User Manual
Page 21
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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.