Question: Hungry? Researchers investigated how the size of a bowl affects how much ice cream people tend to scoop when serving themselves.10 At an ice cream social, people were randomly given either a 17 oz or a 34 oz bowl (both large enough that they would not be filled to capacity). They were then invited to scoop as much ice cream as they liked. Did the bowl size change the selected portion size? Here are the summaries:
Small bowl Large bowl
n 26 n 22
y¯ 5.07 oz y¯ 6.58 oz
s 1.84 oz s 2.91 oz
Test an appropriate hypothesis and state your conclusions. For assumptions and conditions that you cannot test, you may assume that they are sufficiently satisfied to proceed.