In Developing an Interval Estimate for a Population Mean,the Population $\sigma$

Multiple Choice

In developing an interval estimate for a population mean,the population standard deviation $\sigma$ was assumed to be 10.The interval estimate was 50.92 $\pm$ 2.14.Had $\sigma$ equaled 20,the interval estimate would be

A) 60.92 $\pm$ 2.14
B) 50.92 $\pm$ 12.14
C) 101.84 $\pm$ 4.28
D) 50.92 $\pm$ 4.28