ENVS278 Chapter Notes - Chapter 20: Randomized Experiment, Unimodality, Null Hypothesis
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More on the clt and the sample distribution for sample means. The ctl says that all we need to model the sampling distribution of y-bar is of a random sample of quantitative data. Can first estimate the standard deviation using the formula sd(p )= (p x q-hat/n) But for means sd(y-bar) = ( / n), so knowing y-bar doesn"t tell us anything about sd(y-bar) We know n (the sample size) but the standard deviation could be anything. Now we estimate the population parameter with s the sample standard deviation based on the data. The t-model, degrees of freedom and the t-table. Sampling distribution model is always bell-shaped but the details change with different sample sizes, when sample size is large enough the model is not normal. So the student"s t-models form a whole family or related distributions that depend on a parameter known as degrees of freedom.