An I.Q test was administered to 5 persons before and after they were trained. The results are given below : I II III IV V I.Q before training 110 120 123 132 125 I.Q after training 120 118 125 136 121 Test whether there is any change in I.Q. after the training programme (Given t0.01(4) = 4.6)

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The results are given below : I II III IV V I.Q before training 110 120 123 132 125
I.Q after training 120 118 125 136 121
deviation in each case is 10 -2 2 4 -4
sum of d=10
d²=100+4+4+16+16=140
d=sum of d/n=10/2=5 and s=sqrt((d²-nd)/n-1)=sqrt(140-5(4))/5-1=5.673
Hence there is no change of IQ after training since givent0.01(4) = 4.6