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Central Limit Theorem Questions And Answers With Verified Solutions | Latest Update 2025
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Central Limit Theorem Questions And Answers With Verified Solutions | Latest Update 2025
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Central Limit Theorem Questions And AnswersWith Verified Solutions | Latest Update 2025
Central Limit Theorem, CLT - ANSWER for any given population with a mean μ
and a standard deviation σ with samples of size n, the distribution of sample
means for samples of size n will have a mean of μ and a standard deviation of σ
and will approach a normal distribution as n approaches infinity
CLT - ANSWER statistical theory that states that given a sufficiently large
sample size from a population with a finite level of variance, the mean of all
samples from the same population will be approximately equal to the mean of the
population.
Central Limit Theorem (CLT) tells us that for any population distribution, if we
draw many samples of a large size, nn, then the distribution of sample means,
called the sampling distribution, will: - ANSWER Be normally distributed.
Have a mean equal to the population mean, μ.
Have a standard deviation equal to the standard error of the mean,
σ / n‾ √σ/n
CLT equation - ANSWER Regardless of the distribution of a population, as n
increases, the distribution of the means of random samples from the population
will approach a normal distribution, specifically:
N(μ, (σ / √n))
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