The Central Limit Theorem states that for a population with any
distribution, the distribution of sample means approaches a normal
distribution with mean u and standard devition:
σ/√?? always.
σ as sample size increases
σ always
σ/√?? as sample size incrases
Solution :
The Central Limit Theorem states that for a population with any distribution, the distribution
of sample means approaches a normal distribution with mean u and standard devition
/ n as sample size increases
The Central Limit Theorem states that for a population with any distribution, the distribution of sample...
The central limit theorem says that when a simple random sample of size n is drawn from any population with mean μ and standard deviation σ, then when n is sufficiently large the distribution of the sample mean is approximately Normal. the standard deviation of the sample mean is σ2nσ2n. the distribution of the sample mean is exactly Normal. the distribution of the population is approximately Normal.
The central limit theorem states that if the original population is normally distributed and the sample size is large (≥30), then the distribution of x ̅ is also approximately normal. True OR False
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Central Limit Theorem (CLT) 1. The CLT states: draw all possible samples of size _____________ from a population. The result will be the sampling distribution of the means will approach the ___________________- as the sample size, n, increases. 2. The CLT tells us we can make probability statements about the mean using the normal distribution even though we know nothing about the ______________-
please answer asap, urgent QUESTION 7 According to the Central Limit Theorem, the distribution of which statistic can be approximately normal for any population distribution? What condition should the sample satisfy? 6. The Central Limit Theorem approximates the sample mean . It is applicable when the sample size n is sufficiently large. b. The Central Limit Theorem approximates the sample size n. It is applicable when the sample size is not large. The Central Limit Theorem approximates the population mean...
According to the central limit theorem, in order to assume a normal distribution for our sample mean if σ is unknown, we must have a sample size greater than ____.
The Central Limit Theorem states that the sampling distribution will be normal as long as the subgroup size is large enough. Explain what role the subgroup size has on the Variability of the means
1. Explain, in your own words, what the Central Limit Theorem says about sample means. In particular, discuss what the Central Limit Theorem says about the distribution of the sample mean, the mean of the sample mcan, and the standard deviation of the sample mean, as well as what effect (if any) the distribution of the underlying sample data has on the distribution of the sample mean. (You should consult my slides from class. Supplement with internet resources if you...
Which of the following conditions implies that the Central Limit Theorem can be applied? A. The population is approximately normally distributed B. The sample is approximately normally distributed C. σ is not known D. μ is not known E. μ is known Which of the following conditions implies that the Central Limit Theorem can be applied? A. The sample is approximately normally distributed B. The sample size is at least 30 C. μ is not known D. σ is not...
According to the central limit theorem, for samples of size 64 drawn from a population with μ = 800 and σ = 56, the standard deviation of the sampling distribution of sample means would equal 7 8 100 800 80