Burping (also known as "belching" or "eructation") is one waythe human body expels excess gas in your digestive system. Itoccurs when your stomach fills with air, which can be caused byswallowing food and liquids. Drinking carbonated beverages, such assoda, is known to increase burping because its bubbles have tinyamounts of carbon dioxide in them.
As an avid soda drinker and statistics student, you notice youtend to burp more after drinking root beer than you do afterdrinking cola. You decide to determine whether there is adifference between the number of burps while drinking a root beerand while drinking a cola. To determine this, you select 20students at random from high school, have each drink both types ofbeverages, and record the number of burps. You randomize whichbeverage each participant drinks first by flipping a coin. Bothbeverages contain 12 fluid ounces. Here are the results:
| Participant | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| Root beer | 6 | 8 | 7 | 7 | 4 | 2 | 3 | 6 | 3 | 8 | 2 | 1 | 5 | 1 | 3 | 4 | 2 | 4 | 5 | 10 |
| Cola | 4 | 5 | 5 | 6 | 2 | 3 | 3 | 5 | 4 | 7 | 4 | 0 | 5 | 3 | 3 | 2 | 1 | 1 | 7 | 7 |
Part A: Based on these results, what should you report about thedifference between the number of burps from drinking root beer andthose from drinking cola? Give appropriate statistical evidence tosupport your response at the ? = 0.05 significance level.
Part B: How much of a difference is there when an individualburps from drinking root beer than from drinking cola? Constructand interpret a 95% confidence interval.
Part C: Describe the conclusions about the difference betweenthe mean number of burps that might be drawn from the interval. Howdo they relate to your conclusion in part A?
