Data:
Trial 1
2 3 4
5 6 7
8 9
Standard device 450 480 510
500 470 520 475 480
490
New Device 460 485
505 510 470 525 485
500 510
Differences(N-S) 10 5
-5 10
0 5 10
20 20
: 8.333 Σx:
75 Σx2:
1,175 N:9
Σx2 – (Σx)2
S2d =
N =
1,175 - 625
= 68.75
N-1
8
SEd =
√S2d/N
= √68.75/9
=
√7.638889
= 2.76385
t (calc)
= đ/SEd
= 8.3333/2.76385 =
3.015
t (0.02, 8df)
= 3.00
Therefore reject Ho.
Summary: The two devices
produced differing results. Overall, the new device recorded an
average
CO2 level 8.333 ppm higher than the
standard device. The was statistically significant at the 0.02 level.
In other words, a difference of this
magnitude is not likely (less than 2% likely) to have arisen by
chance/random
variation. The null
hypothesis of "no difference" is rejected.
đ: 8.333ppm
t = 3.015 8 df,
P<0.02