Two Independent Samples of Sizes 25 and 35 Are Randomly

question 50

Multiple Choice

Two independent samples of sizes 25 and 35 are randomly selected from two normal populations with equal variances (assumed to be unknown) .In order to test the difference between the population means,the test statistic is:

• A)a standard normal random variable.
• B)approximately standard normal random variable.
• C)Student t-distributed with 58 degrees of freedom.
• D)Student t-distributed with 33 degrees of freedom.

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Definitions:

Systematically

An approach or method performed in an organized, methodical, and consistent manner, often to ensure efficiency and effectiveness in achieving certain goals or outcomes.

Objectively

In a manner that is not influenced by personal feelings or opinions, focusing only on facts.

Independent Variable

In experimental and statistical research, the variable that is manipulated or changed by the researcher to observe its effects on the dependent variable.

Dependent Variable

In research, the variable being tested and measured, expected to change as a result of manipulations to the independent variable.