Transcript Sour Patch Distribution - Kenwood Academy High School

Sour Patch Distribution
Chiquta Hicks
05/24/10
Period 8
Purpose/Question
• I intend to measure the
average distribution of the
colors in a bag of sour patches
• In a 46 oz. box of sour patches
are the four colors evenly
distributed?
Sample/Population
• My sample/population was a 46
oz. box of assorted sour patch
kids
Data Collection
• I bought a box of sour patches
and divided them up into color
groups
Yellow, Green, Red, Orange
• I am confident my sample
represents my population
because I have a big enough
sample number
• Categorical data
• Color vs. Number graphs
Analysis
• Data summary
mean=65.75
Sum total=263
Standard deviation=7.136
Number=4
Graphs
Color Frequency
80
70
60
50
40
30
20
10
0
Frequency
Green
Red
Yellow Orange
Hypothesis
• Null hypothesis: the colors of
sour patches in a 46 oz. box is
distributed evenly
• Alternate hypothesis: the colors
of sour patches in a 46 oz. box
is not distributed evenly
Inference
• I will use the 5% significant level
• The sample size is 263 sour patches
• The significant test I will use is the
chi-squared test
• The conditions are
 Data comes from simple random
sample
 Population ten times as large a
sample
 Has to be categorical
 Expected variable level at least 5
Inference Cont….
• The equation for test is
 Chi-squared= Sigma x (observed-expected)
squared/expected
• Chi-squared=2.323
• P-value=.508
• I will have to fail to reject the null
hypothesis
• I don’t have enough evidence to
show that the colors are evenly
distributed.
Conclusion
• At a 5% significance level I will
fail to reject the null hypothesis
that the colors in a 46 oz. box of
sour patches are evenly
distributed.