Project Option 1: Burp…Excuse Me!
Burping (also known as "belching" or "eructation") is one way the human body expels excess gas in
your digestive system. It occurs when your stomach fills with air, which can be caused
...
Project Option 1: Burp…Excuse Me!
Burping (also known as "belching" or "eructation") is one way the human body expels excess gas in
your digestive system. It occurs when your stomach fills with air, which can be caused by swallowing
food and liquids. Drinking carbonated beverages, such as soda, is known to increase burping
because its bubbles have tiny amounts of carbon dioxide in them.
Participan
t
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
As an avid soda drinker and statistics student, you notice you tend to burp more after drinking root
beer than you do after drinking cola. You decide to determine whether there is a difference between
the number of burps while drinking a root beer and while drinking a cola. To determine this, you
select 20 students at random from high school, have each drink both types of beverages, and record
the number of burps. You randomize which beverage each participant drinks first by flipping a coin.
Both beverages contain 12 fluid ounces. Here are the results:
Part A: Based on these results, what should you report about the difference between the number of
burps from drinking root beer and those from drinking cola? Give appropriate statistical evidence to
support your response at the α = 0.05 significance level.
Parameter: We are trying to find whether there is a significant difference between the mean number
of burps after drinking root beer(u1) and cola(u2).
ud=u1-u2.
Ho: ud=0
Ha: ud≠0
Conditions:
SRS: The sample of students is given to be a simple random sample.
Independence: The population (number of students in high school) is definitely more than 10 x
sample size= 10 x 20= 200. The sample size is 20, so we must verify whether the data are normal or
not.
Normality: A normal probability plot of both the samples looks approximately linear, so we can
assume that the data is approximately normally distributed. The data given are paired, as they both
belong to the same student. We therefore should use a paired t test.
Calculations: I entered the difference of the values into one list of a calculator and ran a t test on the
differences. I got a t value of 1.0169 and a p value of 0.3220.
Conclusion: Since the 0.3220 > 0.05, we fail to reject the null hypothesis. The difference in the mean
number of burps after drinking cola or root beer is not significant.
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