MAT 2377 Lecture 9: Lecture 9 - Confidence Intervals.pdf
9 May 2014
School
Department
Course
Professor
Document Summary
Interval estimation - sections 8-1 to 8-3 and 8-5. Recall: the observed value of an estimator for an unknown parameter is called a point estimate. For example, if the sample mean is x = 35, then the latter is a point estimate for the population mean . Remark: the point estimate tells us nothing about the accuracy of the estimate. One way to answer the question of accuracy is to construct an interval of values such that we will be highly con dent that will be in this interval. an estimator for . Suppose furthermore, that we can nd two statistics. General idea for con dence intervals: suppose that is some un- known parameter and that we are using the statistic (cid:98) = h(x1, . , xn) as (usually based upon (cid:98) ) such that. , xn) and u = u (x1, . 1 = p (l u ), where is a constant between 0 and 1.
