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#1#17
Null hypothesis: Ho: "There is no real
difference between York
and Ryerson in terms of the test scores. Any observed
difference
is therefore due to chance (random error)".
[Ho: xR
=
xY]
----------------------------------------------------------------------
Data: York: 12, 15, 19, 11, 18, 14, 13, 10, 16, 17, 15, 14.
n=12, =
14.500 s=
2.746899 Σx= 174
Σx2= 2606
Ryerson: 15, 11, 17, 18, 19, 17, 19, 19, 12, 13, 16.
n=11, =
16.000
s= 2.898275
Σx=
176
Σx2=
2900
Analysis:
| xR
-
xY
|
1.500
t
=
----------------
=
-----------
=
1.2712
﴾SxR-xY﴿ 1.1800
calculated t = 1.271
critical t(0.05, 21df) = 2.08
t(calc) does not meet or
exceed the t(crit), Cannot reject Ho.
Summary: There was a slight difference observed between Ryerson
and York in terms
of the student scores. (Ryerson mean: 16.00, York mean:14.5). The difference was not statistically
significant and could easily have occurred by chance alone more than 5% of the
time. We cannot reject the null hypothesis as stated above, and
conclude that on the basis of the data provided, no real difference exists
between the two universities in this test.
(xR
-
xY):
1.5,
21 df t: 1.271 ,
P > 0.05 n.s.
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