If Two Random Samples of Sizes $n _ { 1 }$

question 21

Short Answer

If two random samples of sizes $n _ { 1 }$ and $n _ { 2 }$ are selected independently from two populations with variances $\sigma _ { 1 } ^ { 2 }$ and $\sigma _ { 2 } ^ { 2 }$ , then the standard error of the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , equals: $\begin{array}{|l|l|}\hline A&\sqrt{\left(\sigma_{1}^{2}-\sigma_{2}^{2}\right) / n_{1} n_{2}} .\\\hline B&\sqrt{\left(\sigma_{1}^{2}+\sigma_{2}^{2}\right) / n_{1} n_{2}} .\\\hline C&\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}-\frac{\sigma_{2}^{2}}{n_{2}}}\\\hline D&\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}+\frac{\sigma_{2}^{2}}{n_{2}}} .\\\hline \end{array}$

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Definitions:

High Dividend Payout

A scenario where a company distributes a large portion of its earnings to its shareholders in the form of dividends.

Projects

Specific tasks or programs undertaken to meet particular goals, often requiring significant time, resources, or investment.

Information Content Effect

The market’s reaction to a change in corporate dividend payout.