Central Limit Theorem Review

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the population's distribution, provided the sample size is sufficiently large.

Front

What is the mean of the sampling distribution?

Back

The mean of the sampling distribution is equal to the mean of the population.

Front

If the population mean is 400 and the sample size is 25, what is the mean of the sampling distribution?

Back

400

Front

What is the standard deviation of the sampling distribution (standard error) if the population standard deviation is 40 and the sample size is 25?

Back

The standard error is calculated as the population standard deviation divided by the square root of the sample size: 40 / √25 = 8.

Front

True or False: The mean of the sample means is equal to the mean of the population.

Back

True

Front

True or False: The number of samples for sampling with replacement may be computed by multiplying the sample size to the population size.

Back

False

Front

What is the formula for calculating the standard error of the mean?

Back

Standard Error (SE) = Population Standard Deviation (σ) / √Sample Size (n)