T Value Calculator

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T-Value calculator is used to calculate for a given probability, the Student t-value and also its degrees of freedom. This calculator is mostly applied to those whose statistic values follow normal distribution and the scaling terms are known.

t = (mean(x1) – mean(x2)) / √ (s12/n1 + s22/n2)

= difference between means of 2 samples/(variance/sample size). 



Example 1: Using t value calculator solve the following;

X1 = 2, 5 ; X2 = 9, 6

Mean of x1 = 2+5/2= 7/2=3.5

Mean of x2= 9+6/2= 15/2 =7.5

Standard deviation for x1

1.      Sum (x1-mean x1)2 = (2-3.5)2+(5-3.5)2= 2.25+2.25= 5

2.      Sum (x2-mean x2)2 = (9-7.5)2+(6-7.5)2= 2.25+2.25= 5

3.      Standard deviation x1= s12= 5/2= 2.5

4.      Standard deviation x2= s22= 5/2= 2.5

T = (mean(x1) – mean(x2))/√(s12/n1 + s22/n2)

3.5-7.5/√/(2.5/2+2.5/2) = -4/√5/2=  -4/2.5 = -40/25 = -1.6



Example 2: Using t value calculator  solve following;

X1 = 3,5,2,3 ; X2 = 2,2,5,6

 Mean of x1 = 3+5+2+3= 13/4=3.25

Mean of x2= 2+2+5+6= 15/4 =3.75

Standard deviation for x1

1.      Sum (x1-mean x1)2 = (3-3.25)2+(5-3.25)2+(2-3.25)2+(3-3.25)2= 0.0625+3.0625+3.0625+0.0625= 6.25

2.      Sum (x2-mean x2)2 = (2-3.75)2+(2-3.75)2+(5-3.75)2+(6-3.75)2=3.0625+3.0625+1.5625+5.0625= 12.75

3.      Standard deviation x1= s12= 6.25/4=1.5625

4.      Standard deviation x2= s22= 12.75/4=3.1875

T = (mean(x1) – mean(x2))/√(s12/n1 + s22/n2)

3.25-3.75/√/(1.5625/4+ 3.1875/4) = -0.50/√1.1875=  -0.5/1.0897= - 0.4588





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