The 95% confidence interval states that 95% of the sample means of a specified sample size selected from a population will lie within plus and minus 1.96 standard deviations of the hypothesized population mean.

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This is the definition of a 95% confidence interval. The value of 1.96 represents the number of standard deviations away from the mean that includes 95% of the sample means.

The 95% Confidence Interval States That 95% of the Sample