Question

Solve it using matlab and there is an example for a similar one i put

• Write a function calculate_mean_ci(). The inputs to this function are of the form (x, sigma, level). These are x: a numeric vector. sigma : population standard deviation. level : the confidence level given as a percentage, e.g., 95. • The output is a vector of length two of the form (lwr, upr), where lwr = - 20.025 4 and upr = 1 + 20.025

Answer 1

function [lwr, upr] = calculate_mean_ci(x, sigma, level)

z = @(p) sqrt(2) * erfcinv(p*2); %function to calculate z-score for a particular

%value of significance level(alpha)

n = length(x); %size of the given sample

x_bar = mean(x); %mean of the given sample

alpha = 1-level/100; %alpha value (level = (1-alpha)*100)

zscore = z(alpha); %z-score for the calculated alpha

lwr = x_bar-zscore*(sigma/sqrt(n));

upr = x_bar+zscore*(sigma/sqrt(n));

end

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