BIOL2300 Lecture Notes - Lecture 10: Binomial Distribution, Continuity Correction, Sampling Distribution

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Superimposition of binomial and normal density graphs. Continuous normal distribution used to approximate the discrete binomial distribution. Take distribution, shift to be centered at 0 (shift mean) Compress or expand so that sd is 1. Z2 and z1 + . 5, norm dist z2- norm dist z1 -. 5. Distribution of sample means for all samples of size n. Approximately noraml for large sample sizes:central limit theorem. Mean of all sample means for samples sizes of equal size n= population mean. Sampling distribution of any statistic is distribution of that statistic over all samples of size n. Sampling distribution of sample sd is distribuiton of all sample sd over all samples of size n. Mean of all sample variances equals the population variance. Distribution of all sample proportionals for all samples of equal and fixed size n. Proportion is number of successes over humber of trials. Number of people who plan to vote for candidate x/number of voters.

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