In developing an interval estimate for a population mean,the population standard deviation σ was assumed to be 8.The interval estimate was 50.0 ± 2.50.Had σ equaled 16,the interval estimate would be 100 ± 5.0.

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Quizplus · Accepted Answer

The interval estimate depends on the population standard deviation, but doubling the standard deviation does not directly double the interval estimate's center (mean) and margin of error in the way described. The margin of error would increase, but the center of the interval (mean estimate) would remain the same.

In Developing an Interval Estimate for a Population Mean,the Population