Which of the following calculations is not derived from the $confidenceinterval$?

• A. The $marginoferror$
• B. The $lower$ and $upper$ bounds for the $populationparameter$
• C. The $range$ of plausible values for the $populationparameter$
• D. The $samplemean$

Answer: (D)

Verified step by step guidance

1. Understand what a confidence interval represents: it provides a range of plausible values for a population parameter based on sample data.
2. Recall that the confidence interval is typically constructed using the sample mean, the margin of error, and the critical value from a relevant distribution (e.g., z or t distribution).
3. Identify the components derived from the confidence interval: the margin of error, the lower bound, and the upper bound of the interval are all calculated from the confidence interval formula.
4. Recognize that the sample mean is actually the starting point or center of the confidence interval, not something derived from it.
5. Conclude that among the options, the sample mean is not derived from the confidence interval but is used to construct it.