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According to the Central Limit Theorem, the sampling distribution of the sample mean becomes approximately normally distributed asthe standard error increasesthe population variance decreasesthe size of the population increasesthe number of  samples drawn increasesthe size of the sample increases

Question

According to the Central Limit Theorem, the sampling distribution of the sample mean becomes approximately normally distributed asthe standard error increasesthe population variance decreasesthe size of the population increasesthe number of  samples drawn increasesthe size of the sample increases

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Solution

The sampling distribution of the sample mean becomes approximately normally distributed as the size of the sample increases. This is according to the Central Limit Theorem.

Similar Questions

The central limit theorem states that:a.The mean of a population is equal to the mean of the sampleb.The sample mean will always be equal to the population meanc.The sampling distribution of the sample mean approaches a normal distribution as the sample size increasesd.The sample mean is always greater than the population mean

The central limit theorem states that if a random sample of size n is drawn from a population, then the sampling distribution of the sample mean:Group of answer choicesis approximately normal if n ≥ 30.is approximately normal if the underlying population is normal.has the same variance as the population.is approximately normal if n < 30.

According to the Central Limit Theorem, as the sample size increases, the standard deviation of the sampling distribution of the sample means will:a.Increaseb.Decreasec.Remain the samed.Cannot be detremined

Central Limit Theorem for sampling distribution is valid only when:Select one:a. Large samples drawn from any independent and identically distributed populationb. The population follows normal distributionc. Samples are drawn from any independent and identically distributed populationd. The population follows a normal distribution and the sample size should be at least 30

The sampling distribution of sample mean for a large population is approximately normal if the sample size is

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