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? 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 Population of interest: 1 oz. big pack Cherry Passion tic tac box

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

Data Collection We gathered five 1 oz. big pack Cherry Passion tic tacs and labeled them letter A to E. 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. 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. 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.

Exploratory Data Analysis Letter Observed of Red Observed of Yellow A2931 B2535 C3822 D3327 E2931

Exploratory Data Analysis

Explanatory Data Analysis Explanatory Data AnalysisColorObservedExpected(O-E)²/E Red Yellow Total

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

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. 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. 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 Significance Level: α=.05 Sample Size: 5 Sample Size: 5 Significance Test: Chi-squared Goodness of Fit test Significance Test: Chi-squared Goodness of Fit test

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

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. 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.

Reflection Question: Is there an equal amount of yellow and red tic tacs in a 1 oz. Cherry Passion Big Pack tic tac box? 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. 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. 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. The only weakness that could have effected the result of the project is the small sample size.

The End Thank You!