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diff --git a/331/CH8/EX8.9/Example_8_9.sce b/331/CH8/EX8.9/Example_8_9.sce new file mode 100755 index 000000000..05111aed0 --- /dev/null +++ b/331/CH8/EX8.9/Example_8_9.sce @@ -0,0 +1,57 @@ +//One-tailed Tests Concerning Single Mean
+//(When the variance of the Population is UnKnown and the Sample size is Large)
+//Example8.9
+//Page245
+//Test2: Ho:u>=k; H1:u<k
+
+clc;
+N = input('Enter the Population size');
+u = input('Enter the Population Mean');
+Sigma2 = input('Enter the Sample variance');
+std = sqrt(Sigma2); //standard deviation
+n = input('Enter the Sample Size');
+X = input('Enter the Sample Mean');
+alpha = input('Enter the significance level');
+Test = input('Enter the Type of test')
+//Calculation of Z statistic
+Zx = nor_dist_stat_finite_po(X,u,std,n,N)
+disp(Zx,'calculated Normal Z-statistic =')
+Z_alpha = standard_normal_zstat(alpha)
+disp(Z_alpha,'Standard Normal Stastistic=')
+if (Test==1) then
+ if(Zx < Z_alpha) then
+ disp('It falls in the Acceptance Region')
+ disp('Then Null Hypothesis Ho should be Accepted')
+ elseif(Zx > Z_alpha) then
+ disp('It falls in the Rejection Region')
+ disp('Then Null Hypothesis Ho should be Rejected')
+ end
+elseif (Test==2) then
+ if (Zx > -Z_alpha) then
+ disp('It falls in the Acceptance Region')
+ disp('Then Null Hypothesis Ho should be Accepted')
+ elseif (Zx <- Z_alpha)then
+ disp('It falls in the Rejection Region')
+ disp('Then Null Hypothesis Ho should be Rejected')
+ end
+end
+//Result
+//Enter the Population size 900
+//Enter the Population Mean 50
+//Enter the Sample variance 1.44
+//Enter the Sample Size 49
+//Enter the Sample Mean 49.8
+//Enter the significance level 0.1
+//Enter the Type of test 1
+//
+// calculated Normal Z-statistic =
+//
+// - 1.1991178
+//
+// Standard Normal Stastistic=
+//
+// 1.28
+//
+// It falls in the Acceptance Region
+//
+// Then Null Hypothesis Ho should be Accepted
\ No newline at end of file |