Standard Error and Central Limit Theorem Quiz

What does the Central Limit Theorem state?

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

• 1. The standard deviation of the sample mean is equal to the population standard deviation.

• 1. The shape of the sampling distribution is always normal, regardless of the sample size.

• 1. As the sample size increases, the sampling distribution of sample mean approaches a normal distribution.

1. What does the standard error of the sample measure?

• 1. The standard deviation of the sample data.

• 1. The average of the sampled data

• 1. The standard deviation of the population

• 1. The variability of sample means around the population mean.

1. When does the Central Limit Theorem apply?

• 1. When the sample size is large (n>30).

• 1. Only when the population standard deviation is known.

• 1. Only when there is a small sample size.

• 1. Only when the population distribution is normal.