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
Sol:
n>30(large sample
when n is suffciently large,sample follows approximately normal distribution ,irrespective of the parent population whether it follows normal distribution
with sample mean=xbar=mu
sample standard deviation=sigma/sqrt(n)
ANSWER"
the distribution of the sample mean is approximately Normal.
The central limit theorem says that when a simple random sample of size n is drawn...
The Central Limit Theorem is important in statistics because _. A for a large n, it says the population is approximately normal B for any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the sample size C for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the population D for any size sample, it says the sampling distribution of the sample mean is approximately...
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...
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A simple random sample of size 64 is drawn from a normal population with a known standard deviation σ. The 95% confidence interval for the population mean μ is found to be (12, 16). The approximate population standard deviation σ is:
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The Central Limit Theorem says A) When n<30 , the sampling distribution of x¯¯¯ will be approximately a normal distribution. B) When n<30 , the original population will be approximately a normal distribution. C) When n>30 , the original population will be approximately a normal distribution. D) When n>30 , the sampling distribution of x¯¯¯ will be approximately a normal distribution.
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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...