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Central Limit Theorem CLT:
For a random and representative sample (SRS) with a large sample size n, the sampling distribution of the sample mean is approximately _________ with ______ u..... |
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| ....and standard error _______ (formula) (the original standard deviation divided by the square root of n.) |
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| How large does the sample size,n, have to be? |
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| It depends on the shape of the original population. |
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| If the population is _______, the sampling distribution for x(with bar over it) will be normal for any n. |
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| If the population is far from normal, _____, is large enough in most cases fro the sampling distribution of x(bar) to be considered normal. |
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| In general, the closer to normal (bell shaped, symmetric, and continuous) the original distribution of x(bar), the smaller ____ needs to be. |
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| And for any shape distribution, as n increases, the sampling distribution of x(bar) will get closer to ______. |
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| ____ is the number of successes and p(hat)=____/_____ is the proportion of successes. |
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| p(hat) is approximately normal, with mean=___ and stderror = ______ |
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| Assumptions: np>(or equal to) ___ AND n(1-p)>(or equal to)___. |
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| ___ is an individual's measurement, ___ is the sample mean. |
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| x(bar) is approximately normal, with mean = __ and stderror = ______ |
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| Assumptions: original population was _______ OR n>(or equal to) ___. |
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