# More statistics simulations to spice up your next class

Remember when we told you about some of the simulations in our statistics courseware? Well, simulations are so cool that we needed a blog post about two more!

Check out these simulations available in our Beginning Statistics, Discovering Statistics, and Discovering Business Statistics courseware below. These simulations engage students with hands-on applications to make difficult concepts easier to grasp.

## Type II Error

Found in the following courses’ Learn screens:

• Beginning Statistics A.4
• Discovering Statistics A.10

This simulation on Type II Errors shows students the interrelationship between alpha, sample size, and population variance. Students can develop an understanding of the concept of Type II errors and the calculation of beta, and they can play around with the simulation in order to explore the relationship between alpha and beta errors.

## Central Limit Theorem with Proportions

Found in the following courses’ Learn screens:

• Beginning Statistics 7.3
• Discovering Statistics 9.8

We know that a sample is a subset of the population. When we need to learn more about a population, we collect data from a sample. After all, the sample proportion is a pretty good estimate of the population proportion. To illustrate how the sample proportion varies depending on the selected sample, we have a simulation that draws three different samples.

All you have to do is select the “Draw Sample” button for each box, and the simulation calculates the sample proportions for each sample taken:

After this simulation, students learn how to find the probability that a sample proportion will be at least a given value, will be more than a given value, and will differ from the population proportion.