STATISTICAL INFERENCE n n Statistical Inference uses sample

STATISTICAL INFERENCE n n Statistical Inference uses sample data and statistical procedures to: Estimate population parameters; or Test whether or not a population parameter is likely to satisfy some specified value. Jump to first page

STATISTICAL INFERENCE n Estimation of population parameters u The process of using a statistic to infer about the value of an unknown parameter with a specified level of certainty n Test whether a population parameter is likely to satisfy some specified value u The use of sample data to accept or to reject a statement about a parameter value or about a population distribution Jump to first page

Properties of Point Estimators n n Bias describes the location of an estimator; Efficiency is a measure of the amount of variation in the sampling distributions for alternative estimators of a parameter; Consistency describes how the sampling distribution of an estimator concentrates around the parameter values as the sample size increases; and Sufficiency is a measure of the use of information. Jump to first page

ESTIMATION The process of using a statistic to infer about the value of an unknown parameter with a specified level of certainty: n n n Large Sample 100(1 - )% Confidence Interval for ; Small Sample 100(1 - )% Confidence Interval for ; and Confidence Limit for Jump to first page

Interval Estimation Procedure n n Want to use X to estimate X. How reliable is a point estimate? Develop a measure of reliability by finding an interval of numbers within which we expect the true value of the population mean to be contained. Have X, but do not know X. Jump to first page

Interval Estimation Procedure n n Large-Sample 100( 1 - )% Confidence Interval for X is X + Z /2 X. The interval X + 1. 96 X is called a Large-Sample 95% Confidence Interval for the population mean. Jump to first page