Research Methodology - Dr. Krishan K. Pandey

Testing of Hypotheses I 213
Table 9.7
Sample one Sample two
S.No. X1i X – A 1i 1
2
X1i A1
− b g S.No. X2i X – A 2i 2 X2 A −
(A 1 = 10) (A 2 = 8)
2 b i 2g
1. 12 2 4 1. 8 0 0
2. 15 5 25 2. 10 2 4
3. 11 1 1 3. 14 6 36
4. 16 6 36 4. 10 2 4
5. 14 4 16 5. 13 5 25
6. 14 4 16
7. 16 6 36
2
n = 7; ∑bX − A =
1 1i 1g 28;
∑bX1i − A1g
n = 5; ∑bX − A =
2 2i 2g 15;
∑ X2i − A2
= 134 = 69
∑ X i − A
∴ X1= A1+
n
∑ X i − A
X2 = A2
+
n
σ s
σ s
Hence, t =
b 1
1
1g
28
= 10 + = 14 ounces
7
b 2
2
2g
15
= 8 + = 11 ounces
5
b g
b
2
− b g /
b
g
g
2
2 1i 1
1i 1
=
1
n1
1
∑ − − ∑ −
−
X A X A / n
134 28 7
=
= 3667 . ounces
7 − 1
=
b g b g
2
=
2
2i 2
2
2
2i 2
∑ − − ∑ −
2 bg /
b g
X A X A / n
n − 1
69 − 15 5
= 6 ounces
5 − 1
14 − 11
7 − 1 3. 667 + 5 − 1 6
7 + 5 − 2
b gb g b gbg
2
2
1
2
1
× +
7
1
5
b g
2