Casio ALGEBRA FX2.0 Advanced Statistics Examples 1 User Manual
Page 5
5
examples
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Example
A consumer group is testing camp stoves. To test the heating capacity
of a stove they measure the time required to bring 2 qt of water from
50
qqqqq
F to boiling (at sea level). Two competing models are under
consideration. 36 stoves of each model were tested and the following
results were obtained.
Model 1: mean time
ooooo
1
= 11.5min; standard deviation
σ
1
= 2.4min
Model 2: mean time
ooooo
2
= 10 min; standard deviation
σ
2
= 3 min
Is there any difference between the performances of these two
models? (Use a 5% level of significance.)
Procedure
1
m
STAT2
2
3
(TEST)
b
(Z)
c
(2-Smpl)
3
2
(VAR)
c
1
(
≠
)
c
c.e
w
d
w
bb.f
w
dg
w
ba
w
dg
w
1
(None)
c
4
1
(CALC)
6
(DRAW)
Result Screen
Since P = 0.01914957 < 0.05 (level of significance), we reject the null hypothesis
µ
1-
µ
2 =0
and conclude the performances of the two models are different.