Lesson 06: Prep Quiz

What is the standard deviation of the distribution of sample means?

1

Let X be a random variable with population mean μ=10 and population standard deviation σ=6. Suppose a sample of size n=36 is drawn from this population. What is the mean of the distribution of sample means?

10

What theorem would justify your response to the last question?

Central Limit Theorem

When would the "Distribution of Means" be normally distributed? (Choose all correct responses.)

Data are drawn from a population that is normally distributed and the sample size is small. Data are drawn from a population that is normally distributed and the sample size is large. Data are drawn from a population that is right skewed and the sample size is large.

Which of the following gives the best explanation of the Central Limit Theorem?

If the sample size is large, the shape of the distribution of sample means will be approximately normal.

Regardless of the distribution of the population, if the sample size is large (n>30), what would be the shape (distribution) of the distribution of the sample mean?

Normal

When you are taking a sample size of n=100, what is the shape of the "Distribution of Means" histogram when the parent population is normally distributed?

Normal

When you are taking a sample size of n=100, what is the shape of the "Distribution of Means" histogram when the parent population is right skewed?

Normal

When you are taking a sample size of n=5, what is the shape of the "Distribution of Means" histogram when the parent population is normally distributed?

Normal

When you are taking a sample size of n=5, what is the shape of the "Distribution of Means" histogram when the parent population is right skewed?

Skewed right