Chapter 21 STAT 1350 Intro to Stats
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This 2 page Class Notes was uploaded by Katie Catipon on Wednesday April 1, 2015. The Class Notes belongs to STAT 1350 Intro to Stats at Ohio State University taught by Alice Miller in Spring2015. Since its upload, it has received 206 views. For similar materials see Intro to Stats in Statistics at Ohio State University.
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Date Created: 04/01/15
Chapter 21 Con dence Interval Statistical inference draws conclusions about a population parameter based on the data from a sample statistic Sample proportion p the statistic that estimates the parameter l r count in the sample size of the sample n 95 con dence interval an interval calculated from sample data by a process that is guaranteed to capture the true population parameter in 95 of samples Sampling distribution the distribution of values taken by the statistic in all possible samples of the same size from the same population When sample size is large enough 0 r is approximately normal 0 mean of sampling distribution is p pllp n 95 con dence interval for a proportion choose an SRS of size n from a large population that contains an unknown proportion p of successes Call the proportion of successes in this sample b An approximate 95 n How to read a level Ccon dence interval for a parameter 2 parts an interval calculated from data and a con dence level Cthat gives the probability that the interval will capture the true parameter value in repeated samples Critical values of Normal distributions 2 Con dence interval for a population proportion Choose an SRS of size n from a population of individuals of which proportion p are successes The proportion of successes in the sample is b When n is large an approximate ll i2 11 Sampling distribution of a sample mean Choose an SRS of size n from a population in which individuals have mean u and standard deviation 0 Let x be the mean of the sample Then 0 The sampling distribution of x is approx normal when the sample size n is large 0 The mean of the sampling distribution is equal to u o The standard deviation of the sampling distribution is o xn Con dence interval for a population mean Choose an SRS of size n from a large population of individuals having mean u The mean of the sample observations is x When n is reasonably large an approximate level C 0 standard deviation of sampling is con dence interval for the parameter p is r i level Ccon dence interval for p is p i r 8 con dence Interval for u Is x i z T where 2 IS the critical value for 11 con dence level Cfrom table 211 p497
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