Solution: Investigate the Central Limit Theorem. Randomly sample from a binomial distribution, (n = 10, p = 0.8) using sample sizes of 30, 1000 times.
Question: Investigate the Central Limit Theorem. Randomly sample from a binomial distribution, (n = 10, p = 0.8) using sample sizes of 30, 1000 times.
Calf->Random Data–> Binomial: 1000 rows, columns cl-c30.
Create a histogram for two of these columns: C4 and C22.
Describe these distributions.
Find all 1000 sample means, of size 30. CalcRow Statistics: Mean, cl-c30, store in C31. Create a histogram for the sample means of size 30 (C31).
Compute (by-hand) the mean and standard deviation of the binomial distribution used.
Using the Central limit theorem and the above computation, compare your empirical results from your sample means to the theoretical.
Finally, run and interpret a normality test on the column of sample means.
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