Quiz: Central Limit Theorem

1. The Central Limit Theorem says that the sampling distribution of the sample mean is approximately normal if
a. all possible samples are selected.
b. the sample size is large.
c. the standard error of the sampling distribution is small.
2. The Central Limit Theorem says that the mean of the sampling distribution of the sample means is
a. equal to the population mean divided by the square root of the sample size.
b. close to the population mean if the sample size is large.
c. exactly equal to the population mean.
3. The Central Limit Theorem says that the standard deviation of the sampling distribution of the sample means is
a. equal to the population standard deviation divided by the square root of the sample size.
b. close to the population standard deviation if the sample size is large.
c. exactly equal to the standard deviation.
4. Samples of size 25 are selected from a population with mean 40 and standard deviation 7.5. The mean of the sampling distribution of sample means is
a. 7.5
b. 8
c. 40
5. Samples of size 25 are selected from a population with mean 40 and standard deviation 7.5. The standard error of the sampling distribution of sample means is
a. 0.3
b. 1.5
c. 7.5

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