PSYC 2111 Lecture 11: t-test

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Goal is to infer what is from m. The null hypothesis is = 0: 0 means (mew) not , this is usually 0, it can be a different number if it comes from a larger population. Change scores (before and after treatment: example: memory improvement, weight loss. It should always be before minus after (before - after) Sub-population within a known and bigger population: example: iqs of undergrads at cu boulder. Approaches: determine the overall likelihood of m by using the central limit theorem (clt, then compare the real/actual sample mean with the critical value. Null: the treatment has no effect; mean changes 0. The mean of the sample means is the same as the population mean. The probability distribution of m, according to h0, is a normal distribution. Central limit theorem: the mean always equals the population, the standard deviation is as follows: mean: m = 0. = (cid:3041: =standard error; the uncertainty of m.

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