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Answer :

When sampling is from a normal population, the means of samples are normally distributed. When sampling is from an unknown or nor-normal population, size of sample plays a crucial role. If sample size ...

Solution Summary

This solution describes main characteristics of the Central Limit Theorem for mean in approximately 180 words.

... E) What is the mean of the sampling distribution? By central limit theorem, mean=73 F) What is the standard deviation of the sampling distribution? ...

... with mean and variance 2. By central limit theorem we have is normally distributed with mean and variance for large values of n. Hence, follows normal ...

Central Limit Theorem/Sampling Distribution. ... two small samples (sample size of 4) and two large samples (sample size of 40), and compare the means and the ...

... gives detailed analysis on validity of Central Limit Theorem and difference between the standard deviation of the sample and the standard error of the mean. ...

... It is possible to determine the probability in part b because based on the central limit theorem the sampling distribution of the sample means approaches the ...

... and standard deviation of the population from which the sample of 10,000 was taken, we know the distribution of the sample mean (by the central limit theorem). ...

... You would only need a sample size of 1. The Central Limit Theorem states that the sample mean of a sufficiently large sample of independent identically ...