ESS210B
Prof. Jin-Yi Yu
Confidence Level for Sample Means
qThe probability that a sample mean, x, lies between m-sx and m+ sx may be written:
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qHowever, it is more important to find out the confidence interval for the population mean m.. The previous relation can be written as:
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qBut we don’t know the true value of s (the standard deviation of the population). If the sample size is large enough (N³30), we can use s (the standard deviation estimated by samples) to approximate s:
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