vault backup: 2024-01-29 14:38:59
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@ -73,7 +73,7 @@ Remember that the *parameter* is the *number* that actually describes the popula
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For any unknown average, the probability histogram of the sample averages will be shaped like the normal curve and centered at the true average with a standard deviation equal to $SE_{ave}$.
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For any unknown average, the probability histogram of the sample averages will be shaped like the normal curve and centered at the true average with a standard deviation equal to $SE_{ave}$.
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$$ sample_{ave} \pm 2 * SE_{ave} $$
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$$ sample_{ave} \pm 2 * SE_{ave} $$
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If solving for a specific interval, substitute $2$ for your $z$ value.
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If solving for a specific interval, substitute $2$ for your $z$ value. As $z$ increases or the sample size decrease, this interval gets wider.
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This equation should be a review:
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This equation should be a review:
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$$ SE_{ave} = \frac{SD}{\sqrt{size\space samp}} $$
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$$ SE_{ave} = \frac{SD}{\sqrt{size\space samp}} $$
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The above equation will give you an interval that you can be 95% confident that the true random will be within that point.
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The above equation will give you an interval that you can be 95% confident that the true random will be within that point.
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@ -86,4 +86,4 @@ If we're using two standard deviations, the below statement can be used:
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"We can be 95% confident that the interval \[we have constructed] contains the true average \[thing being measured]."
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"We can be 95% confident that the interval \[we have constructed] contains the true average \[thing being measured]."
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## Margin of Error
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## Margin of Error
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The margin of error is $sample_{ave} \pm z* SE_{ave}$. As we increase the confide
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The margin of error is $sample_{ave} \pm z* SE_{ave}$.
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