STAT 1000 Lecture Notes - Lecture 31: Confidence Interval
Document Summary
What if we can set up an interval? how confident will be that the true population mean , If x ~ n the mean . Therefore , in 95% of all samples, lies within : x 2 . This interval of values is called the 95% confidence interval for . This means that if we repeatedly took simple random samples of the same size from the same population and constructed the interval in a similar manner, than. This is one of the rare samples (5%) that produces an interval which excludes the. Interpretation of the confidence interval from . If we repeatedly took a sample of 30 pc"s from the same population and constructed the interval in a similar manner, than 95% of such intervals will contain the true population mean . The general form of level c confidence interval for the population mean is : x z* .