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

question 12

Short Answer

If two random samples of sizes $n _ { 1 }$ and $n _ { 2 }$ are selected independently from two non-normally distributed populations, then the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , is: $\begin{array}{|l|l|}\hline A&\text {always non-normal. }\\\hline B&\text {always normal. }\\\hline C&\text {approximately normal only if \( n_{1} \) and \( n_{2} \) are both larger than 30 . }\\\hline D&\text {approximately normal regardless of \( n_{1} \) and \( n_{2} \). }\\\hline \end{array}$

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Definitions:

Correlation

A numerical indicator that demonstrates how two variables move in relation to each other, showing both the intensity and the orientation of their link.

Indices

Market indicators or benchmarks that track the performance of a specific basket of assets or group of stocks, representing a specific sector, market, or economy.

DJIA

The Dow Jones Industrial Average, a stock market index that measures the stock performance of 30 large companies listed on stock exchanges in the United States.

Stock Index Futures

Futures contracts where the underlying asset is a stock index, allowing investors to speculate on the future value of the index.