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//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
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