Is it true that the point estimate of a population mean must lie within the range of values defined by the corresponding confidence-interval estimate, regardless of the level of confidence achieved?
Explain.
A)No. The confidence interval only defines a range of values that is likely to contain the point estimate with some prescribed level of confidence. This range of values is not guaranteed to Contain the point estimate.
B)Yes. By definition, the prescribed confidence interval contains the value of the point estimate.

Question

Is it true that the point estimate of a population mean must lie within the range of values defined by the corresponding confidence-interval estimate, regardless of the level of confidence achieved?
Explain. 
A)No. The confidence interval only defines a range of values that is likely to contain the point estimate with some prescribed level of confidence. This range of values is not guaranteed to Contain the point estimate.
B)Yes. By definition, the prescribed confidence interval contains the value of the point estimate.

Quizplus · Accepted Answer

The confidence interval is constructed around the point estimate to indicate the range within which the true population parameter is expected to lie with a certain level of confidence. Therefore, by definition, the point estimate is always within the confidence interval.

Is It True That the Point Estimate of a Population