Solve the Problem $\sigma _ { \mathrm { x } } = \frac { \sigma } { \sqrt { \mathrm { n } } } \sqrt { \frac { \mathrm { N } - \mathrm { n } } { \mathrm { N } - 1 } }$

question 93

Essay

Solve the problem.
-When sampling without replacement from a finite population of size N, the following formula is used to find
the standard deviation of the population of sample means: $\sigma _ { \mathrm { x } } = \frac { \sigma } { \sqrt { \mathrm { n } } } \sqrt { \frac { \mathrm { N } - \mathrm { n } } { \mathrm { N } - 1 } }$ However, when the sample size n, is smaller than 5% of the population size, N, the finite population correction
factor, $\sqrt { \frac { N - n } { N - 1 } }$ , can be omitted. Explain in your own words why this is reasonable. For N = 200, find the
values of the finite population correction factor when the sample size is 10%, 5%, 3%, 1% of the population,
respectively. What do you notice?

Comprehend the concepts of human capital and its development for organizational and individual growth.

Understand the legal and ethical framework governing human resource practices.

Acknowledge the importance of employee evaluation, retention, and training in human resource management.

Grasp the essential elements of job analysis, descriptions, and specifications in staffing processes.

---

Definitions:

Regressive Tax

A tax system where the tax rate decreases as the taxable amount increases, disproportionately affecting lower-income earners.

Progressive Taxation

The tax as a percentage of income increases as income increases.

Proportional Taxation

The tax as a percentage of income remains constant as income increases; also called a flat tax.

Regressive Taxation

The tax as a percentage of income decreases as income increases.