Casio ALGEBRA FX2.0 Advanced Statistics Examples 1 User Manual
Page 15
15
examples
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Example
Two competing headache remedies claim to give fast-acting relief. An
experiment was performed to compare the mean lengths of time
required for bodily absorption of brand A and brand B headache
remedies. 12 people were randomly selected and given an oral dosage
of brand A. Another 12 were randomly selected and given an equal
dosage of brand B. The length of time in minutes for the drugs to
reach a specified level in the blood was recorded. The means, stand-
ard deviations, and sizes of the two samples follow;
Brand A:
ooooo
1 = 19.8; x1
σ
n
-1
= 8.6; n1 = 12
Brand B:
ooooo
2 = 19 ; x2
σ
n
-1
= 6 ; n2 = 12
Past experience with the drug composition of the two remedies
permits researchers to assume the standard deviations of the two time
distributions are approximately equal. Let us use a 5% level of
significance to test the null hypothesis that there is no difference in
the mean time required for bodily absortion.
Procedure
1
m
STAT2
2
3
(TEST)
c
(T)
c
(2-Smpl)
3
2
(VAR)
c
1
(
≠
)
c
bj.i
w
i.g
w
bc
w
bj
w
g
w
bc
w
2
(Off)
c
1
(None)
c
4
1
(CALC)
6
(DRAW)
Result Screen
Since P = 0.79431564 > 0.05 (level of significance), the difference is in acceptance region.
We conclude that the data does not contain sufficient evidence to reject H
0
. Therefore, at the
5% level of significance we conclude that there is no difference in the mean times.