In Estimating the Total of a Population of Size N $N \left[ \bar { x } \pm t _ { \alpha / 2 } \cdot s / \sqrt { n } \right]$

question 89

True/False

In estimating the total of a population of size N, where N is very large compared to the sample size, the confidence interval estimator of the total is $N \left[ \bar { x } \pm t _ { \alpha / 2 } \cdot s / \sqrt { n } \right]$ .

---

Definitions:

Hypothesis

A proposed explanation for a phenomenon, designed to be tested through experimentation or observation.

Mean Diameter

The average length of a set of diameters measured across different points or objects.

Variance

A measure of the dispersion of a set of data points around their mean value, indicating how spread out the data points are.

Dependent Samples

Two or more groups of data where the subjects in one group are related or matched with the subjects in the other groups, often used in before-and-after studies.