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Unformatted text preview: a. the population being sampled is normal, or b. the population is nonnormal but the samples are at least moderately large ( n > 30) Part b is an approximation that follows from the Central Limit Theorem. According to the Central Limit Theorem, the sampling distribution of the sample mean looks more and more normal as the sample size increases beyond n = 30. Decision Paths Standard Error of the Mean Population infinite finite N→ ∞ n/N « 1 n x = 1= N n N n x © 1999 by Harvey A. Singer 2 Probabilities Population normal nonnormal n x z σ μ= sample size n ? (1) large small n ≥ 30 n < 30 n x z= ? (1, 2) Notes (1) z follows the standard normal distribution. Use s if unknown (unavailable). (2) Approximately normal by Central Limit Theorem. © 1999 by Harvey A. Singer 3...
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 Fall '08
 SINGER
 Central Limit Theorem, Normal Distribution, Standard Deviation, Harvey A. Singer

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