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Demonstrate understanding of the Central Limit Theorem, using R, by showing how the distribution of the...

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Statistics

Demonstrate understanding of the Central Limit Theorem, using R,by showing how the distribution of the sample mean changesaccording to sample size.

Consider a Poisson distribution with λ = 1.5.

Generate samples of 10,000 means over different numbers ofobservations (eg give a matrix 1, 2,3...100) rows. For each ofthese samples of means, compute the mean of the means, the samplestandard deviation of the means, and the proportions of means thatare more than 1 standard deviation above the overall mean.

Generate plots of each of these quantities vs the number ofobservations contributing to the means (1, 2, 3, 4 etc.).

Write R code used to produce these data. Form conclusions aboutwhat is seen, based on the Central Limit Theorem.

**Note: need help with the R code that produces this. Pleasesupply that in your answer. Thanks!

Answer & Explanation Solved by verified expert
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R code sampmean cproportion csampStddeviation cx cs c110000fori in sx rpoisn i lambda 15sampmeani meanxsampStddeviationi    See Answer
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