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Lesson #17 Sampling Distributions

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The mean of a sampling distribution is called the expected value of the statistic. The standard deviation of a sampling distribution is called the standard error of the statistic

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Sampling Distribution of If X ~ N( , 2 ), then

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Central Limit Theorem For n sufficiently large, the sampling distribution of is at least approximately Normal for any underlying distribution!

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X ~ N( , 40 2 ) +40 -40 P( -10 < X < +10) = P(-.25 < Z <.25) -10 +10 = P(Z <.25) – P(Z < -.25) =.5987 -.4013 =.1974 Dist. of X

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X ~ N( , 40 2 ) +40 -40 -10 +10 Dist. of X P( -10 < < +10) = P(Z < 2.5) – P(Z < -2.5) =.9876 Dist. of

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