lecture11 - Sample mean in general Theorem 6.1 (in the...

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Sample mean in general * Theorem 6.1 (in the book): If a random sample of n observations is selected from a population with a normal distribution (nor- mal population), the sampling distribution of ¯ x will be a normal distribution. Theorem 6.2 (Central Limit Theorem): Con- sider a random sample of n observations selected from a population ( any popula- tion) with mean μ and standard deviation σ . Then, when n is sufficiently large, the sampling distribution of ¯ x will be approx- imately a normal distribution with mean μ ¯ x = μ and standard deviation σ ¯ x = σ/ n . The larger the sample size, the better will be the normal approximation to the sam- pling distribution of ¯ x . n = 30 is usually good enough. * February 23, 2010 1
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Sample test problem Problem: Suppose we have selected a ran- dom sample of n = 36 observations from a population with mean equal to 80 and standard deviation equal to 6. It is known that the population is not extremely skewed. a.
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This note was uploaded on 06/06/2011 for the course STAT 515 taught by Professor Zhao during the Spring '10 term at South Carolina.

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lecture11 - Sample mean in general Theorem 6.1 (in the...

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