QMS 202 Lecture Notes - Lecture 1: Statistical Parameter, Central Limit Theorem, Standard Deviation

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Confidence intervals for the population mean : 10. 1 when population standard deviation is known. A continuous function f(x) that satisfies f(x) 0 and whose area under the curve is exactly =1 is a continuous probability distribution. f(x)dx = 1. Spread is determined by the standard deviation. The random variable has an infinite theoretical range: + infinity (cid:0) Translate from x to the standardized normal (the z distribution) by subtracting the mean of. If x is distributed normally with mean of and standard deviation of , the z value for x. This says that x = is two standard deviations (2 increments of. To find particular value, z, associated with a known probability, mean and standard deviation: Data: variable, tail: left (f1) or right (f2) or cntr(f3) :, (cid:0) :, save res: none, execute, now key exe or f1(calc) Suppose x is normal with mean 18. 0 and standard deviation 5. 0.

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