Write a MATLAB function that would generate n random numbers

Write a MATLAB function that would generate n random numbers using the ‘rand’ and ‘randn’ functions in any given range. The function should output the mean, standard deviation and confidence interval of the ‘n’ numbers generated. Show your function output for three cases: 1) when n=1, 2) n > 50, and 3) n < 30.

A 90 percent confidence can be assumed.

Solution

% this is the function we are taking only one input which is n

function [X,m,sd,ci90] = func(n)

% generating random number
X = rand(n,1);

% calculating mean
m = mean(X);

% calculating standard deviation

sd = std(X);

% this block will calculate the confidence interval
ci = 0.9; % as we need 90 percent confidence

alpha = 1 - ci;
T_multiplier = tinv(1-alpha/2, n-1);
ci90 = T_multiplier*sd/sqrt(n);
end

Output example :