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Distribution of Sour Patch Kids
258
ARTICLES
- Garrett
- Ellie
- Julian
- Miles
SNAGS
- Finding the right amount of Sour Patch
- went with 3.8 lbs instead of 5 lbs
PRACTICAL SIGNIFICANCE
STATE
- the number of single colors of Sour Patch Kids is not uniform and the amount of individual colors per bag varies greatly.
CONCLUDE
- Are the colors of sour patch kids equally distributed?
- Count colors in two 1.9 lb bags
- Chi-squared goodness of fit
- .05 alpha level
- P-value is greater than alpha level
- Reject null
DO
GRAPH
PLAN
- Chi-squared= (Observed-Expected)^2/expected
- Chi Square Value: 21.95
- P Value: .924
- Degrees of Freedom:
- n-1= df
- 5-1=4
- Bags were randomly selected off shelf at Target
- Tested less than 10% of all Sour Patch Kids
- Our expected counts are all greater than 5
- Null Hypothesis: The amount of individual colors of Sour Patch kids are equally distributed.
- Alternative Hypothesis: The amount of individual colors of Sour Patch kids are not equally distributed.
Expected v. Observed
Color Observed Expected Obsvd. - Exptd. Sum [(O-E)/E]
Yellow 174 200 -26 3.38
Orange 176 200 -24 2.88
Green 180 200 -20 2
Blue 247 200 47 11.045
Red 223 200 23 2.645
Total 1000 1000 21.95
Distribution of Sour Patch Kids
by Ellie, Garrett, Julian, and Miles