PSYCH 100A Lecture Notes - Lecture 4: Sampling Distribution, Central Limit Theorem, Standard Error
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To find density, divide frequency by total number of observations. Questions that are used to determine the normal distribution and see how it fits with the population size. Data is distributed with a known proportion. Z-score turns every value into a number centered with a mean of 0 and a standard deviation of 1. The graph needs to be normal in order for the z-score to work. X = z-score x s + xbar. We seldom, if ever, have a hypothesis about individual scores. Almost all hypotheses are about means (in the population) To evaluate the probability of an obtained sample mean, we need to know the mean and standard deviation of the sampling distribution of means. Thankfully, the central limit theorem tells us exactly what the sampling distribution means is. The mean of x in the population. The standard deviation of x in the population.