Suppose a random sample x_1,....,x_100 is generated from the chi-square distribution with degrees of freedom 3. Let x ̅ be the sample average, i.e., x ̅=(x_1+⋯+x_100)/100 . Please calculate var(x ̅) using Monte Carlo simulation. suggest the steps of your Monte Carlo simulation, and the value of var(x ̅) calculated by the MC simulation in R. please do not use chat gpt
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