SOC 282 Lecture Notes - Central Limit Theorem, Normal Distribution, Sampling Distribution
Document Summary
The mean of the sampling distribution of all possible sample means is denoted as mu of xbar: standard error of the sampling distribution of sample meansl the standard deciation of the sampling distribution of the mean. Probability that you draw a sample mean of 66000 is 10. 56: what is probability we get mean falling between 58800 and 65200. Z 58800= 58800-62000 / 32000/ 100 = -1 (34. 13%) Z 65200= 65200-62000 / 32000/ 100 = 1 (34. 13%: 1. 72m is the mean . 06 m is standard deviation sample = 36. 1. 74-1. 72/. 06/ 36= 2 (47. 72%: ci= xbar +/- z times sigma/ n, ci= xbar +/- 1. 96 x sigma/ n (95% confidence interval) 1. 96- 95% confidence interval: sigma =32000 mean= 66000 n=100. 95% ci 658000 +/- 1. 96 x 32000/ 100 = 65800 +/- 6272 = 59528 to. 1. 71 = mean . 06 = standard deviation 36 = sample.
