STAT 1100 Chapter Notes - Chapter 8: Asteroid Family, Interval Estimation, Central Limit Theorem

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1 point and con dence interval esti- mates for a population mean. A point estimate is a single statistic used to estimate the corresponding population parameter using the informa- tion provided by a sample of size n. , xn}, the point estimate of a parameter. Is a function of x1, . The sampling error is the distance between the point esti- mate and the actual population parameter . We use the word distance because there are many ways to de ne the difference between two values. If is a real number, then the error measure we are going to use is the difference between and : Sampling error e = . (2) The answer is to use a con dence interval. The main problem we must address now is how to deter- mine the lower and upper con dence interval limits.

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