Answer to Question #262910 in Statistics and Probability for Sawela

Question

When the standard deviation used to construct a confidence interval for a population mean increases the margin of error of the confidence interval to

A.Decreased

B.Constant

C.Increased

D.Remains the same

Answer 1

The margin of error of the confidence interval for a population mean

$$Margin\ of\ error=critical\ value\times\dfrac{SD}{\sqrt{n}}$$

When the standard deviation used to construct a confidence interval for a population mean increases the margin of error of the confidence interval to

C.Increased