You might need: Calculator Psychologists had a hypothesis that watching TV food commercials causes children to eat more snacks.
They randomized 500 children between a treatment group and a control group. Each child was asked to
watch a cartoon with a commercial break in a private room containing a large bowl of goldfish crackers. The
treatment group watched food commercials (mostly snacks), while the control group watched non-food
commercials (games and entertainment products). Once the child finished watching, the experimenters
measured how many grams of crackers the child ate.
The results of the experiment showed thathane mean amount of crackers eaten by the treatment group is 8
grams greater than the mean amount of crackers eaten by the control group. To test whether the results
could be explained by random chance, the researchers created the table below, which summarizes the
results of 1000 re-randomizations of the data (with differences between means rounded to the nearest 2
grams)
According to the simulations, what is the probability of the treatment group's mean being higher than the
control group's mean by 8 grams or more?