MAT 221 Lecture Notes - Lecture 10: Randomized Experiment, Statistical Parameter, Confidence Interval
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If a count x has the binomial distribution b(n, p), then: center the mean of the binomial distribution is x = np, spread the sd of the binomial distribution is p np(1 p) If a count x has the binomial distribution b(n, p), then: shape the binomial distribution is approximately normal, if np 10 and n(1 p) 10: center the mean of the binomial distribution is x = np, spread the sd of the binomial distribution is p np(1 p). 10: center the mean of the sampling distribution is p = p, spread the sd of the sampling distribution is p = r p(1 p) n . (note: p = sample proportion) 1 the mean of the sample proportions is not affected by the sample size n. (it is affected by the quality of the data. ) 2 the sampling variability decreases as the sample size n increases.