Page 249 - DMGT209_QUANTITATIVE_TECHNIQUES_II

Nourishment programme Nourishment programme B
A
X x x 2 y y y 2


Quantitative Techniques-II x x  y y 
= (x-46) =(y-57)
44 -2 4 42 -15 225
37 -9 81 42 -15 225
Notes
48 2 4 58 1 1
60 14 196 64 7 49
41 -5 25 64 7 49
67 10 100
62 5 25
230 0 310 399 0 674


x y
t =
 1 1 
s 2   
 n 1 n 2 
Here n = 5 n = 7
1 1
 x = 230  y  399

  x x  2 = 310   y   y 2  674

 x 230
x = n  5  46
1

 y 399
y =   57
n 7
2
1 2  
2
s 2 = n  n  2   x   x    y  y
1
2
D.F = (n +n -2) = (5 + 7-2) = 10
1 2
1
s 2 = 310 674   98.4
10
46 57

1
t = 98.4    1  
 5 7 

 11
= 98.4    12  
 35 

 11 11
=  
33.73 5.8
= 1.89
t at 10 d.f. at 5% level is 1.81.
Since, calculated t is greater than 1.81, it is significant. Hence HA is accepted. Therefore the two
nutrition programmes differ significantly with respect to weight increase.

244 LOVELY PROFESSIONAL UNIVERSITY