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For this question, we want to recreate the following graph. Population distribution n = 2 n = 5 n = 30 Exponential Uniform U-shaped
For this question, we want to recreate the following graph. Population distribution n = 2 n = 5 n = 30 Exponential Uniform U-shaped Normal M ^ n M ^ To do so, we need to find 3 populations with a distribution other than normal distribution and a population with normal distribution. Attached you can find 4 populations with Normal/exponential/Poisson/and uniform distributions. Normal and Uniform populations are just generated distributions while the exponential distribution is actual data for the time between two patient assessment by a physician and the Poisson distribution is the hourly number of arrivals to an ED in Calgary (From my thesis). To graphically prove the central limit theorem, you need to use the random sampling technique and take multiple (say 100) samples of sizes 2,5, and 30 of each of the populations. For each population and sample size n: 1. Create 100 samples of size n 2. Calculate the mean for each if the samples. You will have 100 sample means. 3. Then draw the histogram of these 100 numbers.
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