When Two Independent Random Samples of Sizes and

question 66

Multiple Choice

When two independent random samples of sizes and have been selected from populations with means and , and variances and , which of the following is true?

• A) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal only whenandare both 30 or more.
• B) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal regardless of the sizes ofand.
• C) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed regardless of the sizes ofand.
• D) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed only ifis 30 or more.
• E) None of these.

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Definitions:

Experimenter

An individual conducting an experiment, especially in scientific research, to test a hypothesis or demonstrate a known fact.

Line-judgment Task

A psychological task used to study conformity, in which participants must match lines of different lengths.

Wrong Answer

An incorrect response to a question or problem, often resulting from misunderstanding the question or lack of knowledge about the subject.

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Individuals who take part in a research study, providing data or undergoing certain conditions for the purpose of scientific inquiry.