Question 5 Generate a random sample of size 500 using the I distribution with shape =...

  

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Question 5 Generate a random sample of size 500 using the I distribution with shape = 0.1 and rate=0.01. (hint: E(X) 10 e V(X) = 1000) = • Plot the denisity of this gamma function in appropriate plot. # Enter the appropriate R command here: • Write the R code to generate a sample of 500 observation from this Gamma distribution. #Enter the appropriate R command here: Repeat this procedure 1000 times and for each time compute the sample mean of the obtained sample. #Enter the appropriate R command here: • Plot a histogram with the sample means obtained and add normal density of the Central Limit Theorem approximation. #Enter the appropriate R command here: Find the 2.5% and 97.5% quantiles of the sample means. #Enter the appropriate R command here: • Obtain the 2.5% and 97.5% quantiles of the Normal distribution with = 10 and ² = 100. # Enter the appropriate R command here: • Comment on your findings. ● Question 5 Generate a random sample of size 500 using the I distribution with shape = 0.1 and rate=0.01. (hint: E(X) 10 e V(X) = 1000) = • Plot the denisity of this gamma function in appropriate plot. # Enter the appropriate R command here: • Write the R code to generate a sample of 500 observation from this Gamma distribution. #Enter the appropriate R command here: Repeat this procedure 1000 times and for each time compute the sample mean of the obtained sample. #Enter the appropriate R command here: • Plot a histogram with the sample means obtained and add normal density of the Central Limit Theorem approximation. #Enter the appropriate R command here: Find the 2.5% and 97.5% quantiles of the sample means. #Enter the appropriate R command here: • Obtain the 2.5% and 97.5% quantiles of the Normal distribution with = 10 and ² = 100. # Enter the appropriate R command here: • Comment on your findings. ●

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setseed 600 x rgamma 500shape01scale100 meanx 1 12607 histxprobTmainGammascale100 ... View the full answer