Perform simulations in Minitab to illustrate the CLT, using the following parent populations: 1. Population: X~Uniform[0,...

Perform simulations in Minitab to illustrate the CLT, using the following parent populations: 1. Population: X~Uniform[0, 100] a. n = 5 b. n = 15 c. n = 25 2. Population: X~Exponential[λ=50] a. n = 5 b. n = 50 c. n = 250 3. Population: X~Normal(50, 25) a. n = 1 b. n = 5 c. n = 15 For each sample size n (columns), create enough samples (rows) so that the histogram is fairly smooth (e.g., create at least 100 000 samples (rows)). To illustrate the CLT, calculate row means, and produce a graphical summary of the column of row means. Use results of the simulations to assess all five main aspects of the Central Limit Theorem.

Expert Solution

From the above simulation of sample mean from different distribution we can conclude that as n ( sample size ) increases the sample mean aprochess to population mean.

On the basis of histogram for large n (25 ) it's clear the asymptotic distribution of sample mean for each distribution is Normal.

orchestra answered 2 years ago

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