STAT 1000 Lecture Notes - Lecture 31: Confidence Interval, Standard Deviation, Random Variable
10 Sep 2018
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How confident will be that the true population mean , If (cid:4666),/ (cid:4667)it then follows the about 95% of all values of fall within 2/ of the mean . Therefore , in 95% of all samples, lies within : 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. 95% of all such intervals would contain the true mean of the population. Output voltage is assumed to be normally distributed with a known standard deviation of 0. 25v. The true value of may fall in this interval true value of . n = 30. Our 95% confidence interval is : (9. 11, 9. 29) This is one of the rare samples (5%) that produces an interval which excludes the. Interpretation of the confidence interval from example 1 :
