Challenge #1: Checking volume increase claims from various sources
Can you determine how many times bigger an Orbeez gets when soaked in water?
There's raging debate between parties disputing whether Orbeez can grow 100x or 150x growth when placed in water.
Challenge #2: Using Statistics to check volume increase claims
Find a creative way to determine your confidence that others will get similar results for actual growth. You can predict that you’re not going to get the exact same expansion factor every time. Consider these questions:
(0) When you checked the increase in volume the first time, was that right on average or was this one was an outlier? Was the claim of 100x or 150x an outlier? Why? How do you know?
(1) What’s the distribution of expansion factors?
(2) How can we use the resulting distribution to decide whether your first trial checking the volume increase was unusual or not?
Challenge #3: Attempt to predict the growth after only being allowed a short time before you must make your prediction.
How accurately can you predict how big the Orbeez will grow if you only have 60minutes to test before making a prediction? 120min? 24 hours?
How accurately can you predict how much time you will need for the Orbeez to grow to full size?
Predict when the additional growth from soaking for longer time isn't worth the additional time. Pretend you are paid money for the largest Orbeez, but you must rent the facility where the Orbeez are soaked.
Challenge #4: Density prediction
Does the density of Orbeez change when they are soaked in water? Create and execute a procedure to show if it does. This should stand up under international scrutiny!
Challenge #5: Determine factors that dictate the potential size of Orbeez
Under what conditions can are the biggest Orbeez possible? Big Orbeez are much more valuable to people. One person selling Orbeez soaks her Orbeez in diet soda and is making lots of money. What would you use?
Under what conditions are the most consistent Orbeez possible? One group needs a very precise Orbeez for some high tech applications - they MUST all be the same size. What do you need to do to produce Orbeez that are the same size, and are perfectly round?