In developing an interval estimate for a population mean,the population standard deviation σ was assumed to be 10.The interval estimate was 50.92 ± 2.14.Had σ equaled 20,the interval estimate would be
A)60.92 ± 2.14
B)50.92 ± 12.14
C)101.84 ± 4.28
D)50.92 ± 4.28

Question

Quizplus · Accepted Answer

The interval estimate depends on the standard deviation. Doubling σ from 10 to 20 would double the margin of error (the ± value) but not affect the estimate's center (50.92). Thus, the new interval is 50.92 ± 4.28.

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