Learning Objectives:

Practice the notation for the normal distribution.
Apply the Central Limit Theorem for means and sums.
Explore the relationship between the area under the normal curve and probability.
Understand when the normality assumption is necessary.

Video showing how to use this App.

Resource on the Normal Distribution

Resource on the Central Limit Theorem

~N( , )

Answer: The normality assumption is needed because only a single individual is being selected.
The normality assumption is needed because the sample size is less than 31.
The normality assumption is not needed because the sample size is greater than 30.
The normality assumption is needed because the number of successes and failures are not both greater than 5.
The normality assumption is not needed because the number of successes and failures are both greater than 5.
Low: High: μ: σ: p: