Two Independent Samples of Sizes 20 and 30 Are Randomly $\mu _ { 1 } - \mu _ { 2 }$

question 13

Multiple Choice

Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations. Assume that the population variances are unknown but equal. In order to test the difference between the population means, $\mu _ { 1 } - \mu _ { 2 }$ , the sampling distribution of the sample mean difference, $\bar { x } _ { 1 } - \bar { x } _ { 2 }$ , is:

• A)normal.
• B)Student-t with 50 degrees of freedom.
• C)Student-t with 48 degrees of freedom.
• D)None of these choices.

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Definitions:

Issued Capital

The total value of a company's shares that have been issued to shareholders.

Elimination

The process of removing internal transactions or balances when preparing consolidated financial statements to avoid double counting.

Dividend Elimination

The process of removing the effects of dividends paid by subsidiaries to the parent from consolidated financial statements to avoid double counting.