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ahmed Altyp
on Oct 30, 2024

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Since the central limit theorem states that a normal distribution of sample means will result from virtually any underlying distribution,all of the following are true except ________.

A) approximately 75% of the sample means will be between ±2 standard errors of μ
B) approximately 99% of the sample means will be between ±3 standard errors of μ
C) approximately 95% of the sample means will be between ±2 standard errors of μ
D) approximately 68% of the sample means will be between ±1 standard errors of μ

Central Limit Theorem

A principle stating that the distribution of sample means approaches a normal distribution as the sample size becomes larger, regardless of the population's distribution.

Standard Errors

A statistical term that describes the estimated standard deviation of a sampling distribution of a statistic, often used in hypothesis testing.

Sample Means

The average value derived from a subset of a larger population, used as an estimate of the overall population mean in statistical analysis.

  • Absorb the key elements of the central limit theorem and its consequences for the behavior of sampling distributions.
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Kaelyn RisserOct 30, 2024
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