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+//Two-tailed Test Concerning Difference between Two Means
+//(When the variances of the Populations are UnKnown and the Sample Sizes are  Large)
+//Example8.20
+//page265
+//Test  : Ho:u1=u2 or u1-u2=0
+//        H1: u1#u2 or u1-u2#0
+clc;
+Sigma1 = input('Enter the variance of population1')
+Sigma2 = input('Enter the varinace of population2')
+n1 = input('Enter the sample size taken from population1')
+n2 = input('Enter the sample size taken from population2')
+X1 = input('Enter the mean of the sample1')
+X2 = input('Enter the mean of the sample2')
+alpha = input('Enter the significance level')
+alpha = alpha/2;
+//Calculation of Z statistic 
+Z_X1_X2 = Norm_Dis_Diff_Two_Mean(X1,X2,Sigma1,Sigma2,n1,n2)
+disp(Z_X1_X2,'calculated Normal Z-statistic =')
+Z_alpha = standard_normal_zstat(alpha)
+disp(Z_alpha,'Standard Normal Stastistic=')
+if ((-Z_alpha < Z_X1_X2) &(Z_X1_X2< Z_alpha)) then
+        disp('It falls in the Acceptance Region')
+        disp('Then Null Hypothesis Ho should be Accepted')
+else
+        disp('It falls in the Rejection Region')
+        disp('Then Null Hypothesis Ho should be Rejected')
+end
+//Result
+//Enter the variance of population1 9
+//Enter the varinace of population2 36
+//Enter the sample size taken from population1 50
+//Enter the sample size taken from population2 80
+//Enter the mean of the sample1 21
+//Enter the mean of the sample2 23
+//Enter the significance level 0.01
+// 
+// calculated Normal Z-statistic =   
+// 
+//  - 2.5197632  
+// 
+// Standard Normal Stastistic=   
+// 
+//    2.57  
+// 
+// It falls in the Acceptance Region   
+// 
+// Then Null Hypothesis Ho should be Accepted 
+\ No newline at end of file