Sunday, January 9, 2011

t - test (paired sample)

A study was conducted to find out the effect of temperature on the height of spring onion variety X. The following data were collected.

Table A. Height (cm) of Spring Onion Variety X
Plant No.
20 deg. Celsius
30 deg. Celsius
1
45.3
32
2
45
32.1
3
47
36.8
4
46
35
5
45
31
6
46.3
29.8
7
48
32
8
44.9
33.5
9
42
34.2
10
43.8
33


Null Hypothesis: There is no significant difference between the mean of the height of variety X at 20 and 30 degrees Celsius.

Findings: 
Table 1: Paired Samples Statistics

Mean
N
Std. Deviation
height @ 20 deg C
45.3300
10
1.67136
height @ 30 deg C
32.9400
10
2.03153

Table 2: Paired Samples Test
height @ 20 deg C - height @ 30 deg C
t
df
Sig. (2-tailed)
14.589
9
.000

Analysis, Interpretations and Conclusions: 
Table 1 shows the means of 45.33 cm and 32.94 cm as heights of variety X at 20 and 30 deg. C respectively, with corresponding SD of 1.67 and 2.03. 

Table 2 presents a t - value of 14.589 with 9 as degree of freedom. The t - value having a significance level of .000 is significant. 

Reject the null hypothesis; there is a significant difference in the height of variety X at 20 and 30 deg. C.




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