PSYC 2320 Lecture Notes - Lecture 6: Standard Deviation, Confidence Interval, Sampling Distribution
6 Oct 2018
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The mean of the sampling distribution (assuming it is made up of good, representative. Thus, any representative sample of the population and it"s mean, , should fall within. That mean, , should then be able to be used to estimate the population mean, , even if we don"t know it or can"t assume its value expected ranges of the sampling distribution. Because the sampling dist. of the mean is normal (assuming clt), we can use it the same we have other z dists. We work backward from the sample mean (a score somewhere along the dist. ) to estimate the mean of the sampling dist. and thus the population mean. Remember, when we were looking for a specific observation in a normal dist. we could re-order the formula as: If we go up a level and substitute our sampling dist. terms, we get something similar: =+(cid:4666)(cid:4667)(cid:4666)(cid:1871)(cid:4667) (cid:4666) (for population parameters) or = .
