Expressing Confidence Intervals Example 2 showed how the statistics of n = 22 and =14.3 result in this 95% confidence interval estimate of 11.0<σ< 20.4. That confidence interval can also be expressed as (11.0, 20.4), but it cannot be expressed as 15.7 ± 4.7. Given that 15.7 ± 4.7 results in values of 11.0 and 20.4, why can’t we express the confidence interval as 15.7 + 4.7?

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Expressing Confidence Intervals Example 2 showed how the statistics of n = 22 and =14.3 result in this 95% confidence interval estimate of 11.0<σ< 20.4. That confidence interval can also be expressed as (11.0, 20.4), but it cannot be expressed as 15.7 ± 4.7. Given that 15.7 ± 4.7 results in values of 11.0 and 20.4, why can’t we express the confidence interval as 15.7 + 4.7?

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