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Inferences About Two Means: Dependent Samples
Inferences About Two Means: Dependent Samples

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... confidence interval (CI) or the value of the test statistics (T-Value = 3.63 with 16 degrees of freedom). If looking at the confidence interval, you must realize and state that this is a 95% CI (which does not match the test question for  = 0.10). However, as you think this through you realize and ...
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... parameter being estimated. 3) The estimator should be relatively efficient. In other words, of all possible statistics that could be used to estimate a particular parameter, we want to choose the statistic whose sampling distribution has the smallest variance. It turns out that, for a population mea ...
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... element to see which of the two possibilities it is.  The normal distribution can be used to approximate the distribution of sample proportions because np ≥ 5 and n(1 – p) ≥ 5 are both satisfied. Technically, many times the trials are not independent, but they can be treated as if they were indepen ...
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... We obtain our F comparison value (critical value) from the Ftable or from Matlab using the level of confidence we want (usually 95% or 5% depending on the table) and the degrees of freedom given by k-1 (the number of samples - 1) and k*(n-1), the total number of observations minus the number of ...
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... • Hyp: Mean women > men (Clinton ther score) • Null or Alternative hyp: Women ≤ men • Our hypothesis would say that if we take the mean for women on the thermometer score and subtract that for men, the difference should be positive. • It is also the case, that this distribution of mean differences ...
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... Interpreting Sample Standard Deviations If, for example, the observations are fuel efficiencies in miles per gallon, them we might have = 23, s = 2.0 mpg. The size of a typical or representative deviation from the sample mean of 23mpg is about 2pmg. So, many observations fall around 21mpg and aroun ...
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... • With replacment: pick one at a time. On ith selection each member of population has same chance of being drawn, even if that member has been picked before. ...
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Taylor's law

Taylor's law (also known as Taylor’s power law) is an empirical law in ecology that relates the variance of the number of individuals of a species per unit area of habitat to the corresponding mean by a power law relationship.
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