# HW 3 - Homework 3 Problem 1 Rachel Baker BIOS 600 001(ii...

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Rachel Baker BIOS 600 001 Homework 3 2/11/10 Problem 1 (ii) Means of samples of size n=2: The histogram of means is spread out (large standard deviation) and skewed to the right, or the mean is larger than the median. Mean = 16.99 sd = 6.72 (iii) Means of samples of size n=5: The histogram of means has a moderate spread (range) and slightly skewed to the right, or the mean is slightly larger than the median. Mean = 15.97 sd = 4.33 (iv) Means of samples of size n=25: The histogram of means approximates the normal distribution, although it is slightly skewed to the left. The histogram shape is very centralized around the sample mean with a relatively small standard deviation and spread (range). Mean = 15.71 sd = 2.01 (v) Theoretical values should only be approximated by Central Limit Theorem for n > 25. Theoretical mean: µ , the mean of the original distribution (16) Theoretical standard deviation: √(σ²/ n) , where σ² is the variance of the original distribution (90.666), and n the sample size. Sample Size

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HW 3 - Homework 3 Problem 1 Rachel Baker BIOS 600 001(ii...

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