The 95 percent confidence interval states that 95 percent 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 statement is true. The 95 percent confidence interval is commonly used in statistical inference to estimate the range in which a population mean is likely to fall based on a sample mean. The value 1.96 represents the number of standard deviations from the mean that encompasses 95 percent of the normal distribution.

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