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//One-tailed Tests Concerning Single Mean
//(When the variance of the Population is Known and the Population is finite)
//Example8.4
//Page236
//Test1: Ho:u<=k; H1:u>k
clear
clc;
N = input('Enter the population size')
u = input('Enter the Population Mean');
Sigma2 = input('Enter the Populaion 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 1000
//Enter the Population Mean 10000
//Enter the Populaion variance 250000
//Enter the Sample Size 81
//Enter the Sample Mean 10250
//Enter the significance level 0.05
//Enter the Type of test 1
//calculated Normal Z-statistic = 4.6917785
//Standard Normal Stastistic= 1.64
// It falls in the Rejection Region
// Then Null Hypothesis Ho should be Rejected
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