Question

answer true or false to the following statement concerning a confidence interval for a population mean. give reasons for your answer. the confidence level can be determined if you know only the margin or error, population standard deviation, and sample size.

Answer 1

True: We can determine the confidence level if we know margin of error, population standard deviation and sample size.

Let's consider standard deviation ( ), sample size (n) and Margin of error (E).

Then we obtained the z value by using formula

We have to look for this z value in the z table.

From z table we get value of , by multiplying 2 we get level of significance.

Substracting this from 1 we gat confidence level.