In developing an interval estimate for a population mean, the population standard deviation $\sigma$ was assumed to be 8. The interval estimate was 50.0 ± 2.50. Had $\sigma$ equalled 16, the interval estimate would have been 100 ± 5.0.

Question

Quizplus · Accepted Answer

The interval estimate would have been wider with a larger standard deviation, but the midpoint (50.0) would remain the same, not change to 100.

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