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Double Pack Tic Tacs

Double Pack Tic Tacs. Kamyia Mason Mariah Rosado. Introduction. Question: Is there an equal amount of yellow and red tic tacs in a 1 oz. Cherry Passion Big Pack tic tac box? Population of interest: 1 oz. big pack Cherry Passion tic tac box. Introduction (cont.).

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Double Pack Tic Tacs

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  1. Double Pack Tic Tacs Kamyia Mason Mariah Rosado

  2. Introduction • Question: Is there an equal amount of yellow and red tic tacs in a 1 oz. Cherry Passion Big Pack tic tac box? • Population of interest:1 oz. big pack Cherry Passion tic tac box

  3. Introduction (cont.) • We collected our data and recorded it in a table. • We conduct a Chi-squared goodness-of-fit test. • Strengths: The amount of tic tacs in each sample were equal. • Weaknesses: Our sample might be too small.

  4. Data Collection • We gathered five 1 oz. big pack Cherry Passion tic tacs and labeled them letter A to E. • For each pack of tic tacs, we separated the red from the yellow tic tacs and counted the total amount of reds and yellows. • This process was done one by one for packs letter A to E. And the amount of red and yellow tic tacs in every pack was recorded in a chart.

  5. Exploratory Data Analysis

  6. Exploratory Data Analysis

  7. Explanatory Data Analysis

  8. Explanatory Data Analysis • Red Data: Mean – 30.8 SD – 4.4 Min – 25 Q1 – 27 Median – 29 Q3- 35.5 Max – 38 • Yellow Data: Mean – 29.2 SD – 4.4 Min – 22 Q1 – 24.5 Median – 31 Q3 – 33 Max - 35

  9. Inference Procedure • Null Hypothesis: There is an equal amount of red and yellow tic tacs in a 1 oz. Cherry Passion Big Pack tic tac box. • Alternate Hypothesis: There are more yellow than red tic tacs in a 1 oz. Cherry Passion Big Pack tic tac box. • Significance Level: α=.05 • Sample Size: 5 • Significance Test: Chi-squared Goodness of Fit test

  10. Inference Procedure • אַ² = ∑ (Observed-Expected)²/Expected = .214 • P-value = .995 • We will fail to reject the null hypothesis since our p-value (.995) is greater than α (.05).

  11. Conclusion • We will fail to reject the null hypothesis that there is an equal amount of red and yellow tic tacs in a 1 oz. Cherry Passion Big Pack tic tac box since our p-value of .995 is greater than the α=.05 level meaning we do not have sufficient evidence to reject the null hypothesis.

  12. Reflection • Question: Is there an equal amount of yellow and red tic tacs in a 1 oz. Cherry Passion Big Pack tic tac box? • We collected a sample of 5 Big Pack tic tac boxes and counted the amount of red and yellow in each then recorded the data in a table. • Our main strength was that the sample boxes all had the same amount of tic tacs so there was little variation. • The only weakness that could have effected the result of the project is the small sample size.

  13. The End Thank You!

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