Which of the Following Statements About the Central Limit Theorem

question 114

Multiple Choice

Which of the following statements about the Central Limit Theorem (CLT) is correct?

• A) The CLT states that the sample mean x̄ is always equal to the population mean, μ.
• B) The CLT states that the sampling distribution of the population mean μ is approximately normal, provided that n ≥ 100.
• C) The CLT states that the sampling distribution of the sample mean x̄ is approximately normal for large sample sizes (n ≥ 30).
• D) The CLT states that the sample mean x̄ is equal to the population mean μ , provided that n ≥ 30 .
• E) The CLT states that the sampling distribution of the population mean μ is approximately normal, provided that n ≥ 30 .

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Definitions:

Defense Mechanism

Psychological strategies employed by individuals to cope with reality and to maintain self-image by unconsciously denying or distorting reality.

Aggressive Behaviors

Actions or conducts that are assertive, forceful, or hostile, often intended to dominate or control.

Social Discounting Bias

The tendency to undervalue the future well-being or outcomes of others compared to one's own immediate needs or desires.

Defense Mechanism

Psychological strategies employed by individuals to cope with reality and to maintain self-image.