Stimulating Statistics Simulations

Many concepts in statistics can be hard to grasp for students, especially if they get stuck on their homework after class with no one around to guide them. Sometimes they need a little more than just text to really understand the material. Now they can access key simulations in the instructional Learn mode of the Hawkes courseware for that extra help!

The Central Limit Theorem

Found in our Beginning Statistics Chapter 7.1, Discovering Statistics Chapter 9.1, and Discovering Business Statistics Chapter 8.1-8.2, the introduction to the Central Limit Theorem is essential to statistics students. There’s a lot to it, so we break down the setup and distribution in the simulation:

The Learn screens walk students through setting up the Central Limit Theorem simulation. They can change the setup and distribution.

Students can choose how many observations to simulate. They can also choose what kind of distribution:

  • Uniform
  • Exponential
  • Chi-square
  • Normal
  • Poisson
  • Bi-modal

The Learn screens walk students through setting up the Central Limit Theorem simulation.

Students can then run another simulation or select “Auto” for the simulation to continuously run.

The simulation can run automatically and in bursts. This image shows histograms for n=5, n=15, and n=30. It includes the histogram of the parent function.

Estimating Population Proportions

Want students to learn more about population proportions? We’ve got you covered in Beginning Statistics Chapter 8.4, Discovering Statistics Chapter 10.7-10.9, and Discovering Business Statistics Chapter 9.6-9.7. Included is a game in which students can draw sample sizes of 20, 50, or 100 and guess the population proportion.

This simulation asks students to draw a sample from the population before entering their guess using red and blue marbles. They can draw a sample size of 20, 50, or 100.

After students try the game, we keep track of the chosen sample size, population proportion, and their guesses.

This simulation then shows you the number of plays along with their sample size, population proportion, estimated proportion, error, squared error, and sample proportion.

This simulation makes understanding how to estimate population proportions easier by making it more of a hands-on activity!

Want to see more? Call us at 1-800-426-9538 to request access.

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