STAT 2230 Lecture Notes - Lecture 4: Confidence Interval, Standard Deviation, Sampling Distribution
17 Dec 2015
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Document Summary
Within one standard deviation of the mean, 68% of the population lie. Within three standard deviations, 99. 7% of the population lie. When given the standard deviation , you can find the standard deviation of the sampling distribution ( ( From here, we know that the sampling distribution +/- 2 covers 95% of the population. This means 95% of all samples have a mean ( that lie within two standard deviations of the sampling distribution. This is a confidence interval that states how close to the sampling distribution mean the unknown population mean is likely to be. Intervals between the sampling distribution mean of +/- 2 is a 95% confidence interval for the population mean ( ) -->95% chance a random selection of one of the samples will produce a mean within this confidence interval. Confidence interval range means we can be ___% sure that.
