Changes

*The normality of the distribution is doubtable, then Sign test is used to find the statitic instead of one sample T-test.

*The normality of the distribution is doubtable, then Sign test is used to find the statitic instead of one sample T-test.

*The sign test uses the sign of the differences, unlike the paired t test which uses the sign and magnitude of the differences.

*The sign test uses the sign of the differences, unlike the paired t test which uses the sign and magnitude of the differences.

*To perform this test, Consider the independent pairs of sample data from the populations <math>{(x1,y1)(x2,y2).....(xn,yn)}</math>.

*To perform this test, Consider the independent pairs of sample data from the populations <math>{(x_1,y_1)(x_2,y_2).....(x_n,y_n)}</math>.

*From this pair,it must be omitted with no differences <math>(xi=yi)</math>.

*From this pair,it must be omitted with no differences <math>(x_i=y_i)</math>.

*The Sign test data are having the following properties:

*The Sign test data are having the following properties:

*1.The differences of pairs are assumed to be independent.  

*1.The differences of pairs are assumed to be independent.