Your family bought the giant economy-size pack of 2,000 randomly mixed, assorted juice boxes. every day your mother randomly puts one in your lunch box. there are four flavors: apple, orange, grape and mixed-fruit. your favorite is grape, but you don’t get any grape in your lunch box the first week. after two months (40 school days), you’ve gotten 9 grape juice boxes. this is close to what you’d expect theoretically (10 boxes). why is the two-month total closer to theoretical than the one-week number?
a) the 2,000-box pack probably wasn’t randomly assorted.
b) someone probably told your mother that you like grape the best.
c) everybody likes grape the best; the company probably put less grape in the pack than other flavors.
d) two months gives a sample size of 40 juice boxes, which is larger and more statistically significant than the 5-box sample from the first week.