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 of​ error, population standard​ deviation, and sample size. Choose the correct answer below. A. ​False, because you also need to know the critical value corresponding to the confidence level to determine the confidence level. B. ​False, because you also need to know the population mean to determine the confidence level. C. ​True, since the confidence level is only dependent on the margin of​ error, population standard​ deviation, and sample size. D. ​False, because you also need to know the sample mean to determine the confidence level.

Answer 1

True

Explanation:

True , since the confidence level is only dependent on the margin of error , population standard deviation and sample size .

Margin of error = E = t\α/2 * (s /√n), which is based on t/α/2 and standard deviation aswell as sample size.

also, confidence interval interval for a is

(ₓ⁻-tα/2 α/√n, ₓ⁻+tα/2 α/√n) base on sample mean, confidence interval,standard deviation and sample size