Question

complete the statement below.
a confidence interval for a population mean

choose the correct answer below.
oa. a confidence interval for a population mean gives possible values the true population mean will be with a certain level of confidence
ob. a confidence interval for a population mean gives possible values the true population mean will be with a certain level of confidence
oc. a confidence interval for a population mean gives possible values the sample mean will be with a certain level of confidence
od. a confidence interval for a population mean gives one possible value the true population mean will be with a certain level of confidence

Explanation:

A confidence interval for a population mean is constructed to estimate the range within which the true population mean lies. It is not about the sample mean (so options B and C are incorrect). Also, it does not give a 100% confidence (option D is wrong as confidence intervals have a certain level of confidence like 90%, 95%, 99% etc., not 100%). The correct concept is that it gives possible values the true population mean will be with a certain level of confidence.

Answer:

A. A confidence interval for a population mean gives possible values the true population mean will be with a certain level of confidence.