How Many Licks Does it Take to Get to the Center of a Blow Pop ?

1. How Many Licks Does it Take to Get to the Center of a Blow Pop ?

2. We bought 10 blow pops from one store, flavors at random, and started to lick one side consistently until we reached the center. Meaning until the tongue was able to detect the smallest piece of gum. Cherry, Grape, Sour Apple, Strawberry, & Watermelon Sample/ Population of Interest

3. We entered in the website www.kgb.com the following question: • “how many licks does it take to get to the center of a blow pop?” • The anonymous post replied 364. • A member of our group sat and licked one side of a blow pop repeatedly until the gum was detectable to the tongue and the processes was repeated 10X. Data Collection Process

4. We are not really sure how confident we are with our data being a good sample of the population, because we have no variety. According to how we chose our blow pops, provides the reason for the slight discretion. Our control throughout the experiment was to go to one store and choose blow pops with our eyes closed out of one batch of evenly distributed flavor blow pops. If we would have gone to different stores to purchase the blow pops we would have had more variety and maybe would’ve been more confident whether our data represents a good sample of the population. Confidence

5. Data Representation Mean= 210.3 Standard Deviation= 17.1 Five Number Summary: Min- 186 Q1-198.5 Med- 206 Q3- 228 Max- 238

6. Box plot

7. Shape- Our box plot indicates that the data is fairly skewed to the right, but the values display a pattern of larger numbers. Outlier- Equations Q3-Q1=IQR; 228-198=30 Q3+1.5(IQR); 228+1.5(30)=273 Q1-1.5(IQR); 198-1.5(30)=153 According to the equations above we have no outliers. Center- According to our mean and median since they’re very close the distribution is approximately normal. Spread- the spread is from 198 to 238. The Q1 is really close to the median almost overlapping. Description of Graph

8. Hypothesis Ho:µ=364, The average licks for a blow pop is 364. Ha:µ<364, The average licks for a blow pop is less than 364. Significance Lev. ( 0.5) with a sample of 10 Conditions for T-test 1. We do not know if the data comes from an SRS, so we can not generalize about the population. 2. Since n<15, we did a NPP and our data is approximately normal. T-formula Inference Procedures

9. t=-27.487 P value=0.0000000002708, According to TI-84 Texas Instrument. Due to the extremely small p value we have enough evidence to reject Ho, meaning the average licks for a blow pop is less than 364. How many licks does it take to get to the center of a blow pop? On average it takes about 210 licks to get to the center of a blow pop. Calculations

10. According to our 95% confidence interval, we have confirmed that we should reject Ho. Our confidence interval was… T= -27.487 = 210.3 s=17.7 n=10 Answer is 197.65 to 222.95, Therefore 210 is a valid estimation. Confidence Interval

11. Our question was How many licks does it take to get to the center of a blow pop? We collected our data by buying 10 blow pops at random from one store out of a evenly distributed batch and carefully licking each one on one side of the blow pop until the bubble gum in the middle was detectable by the tongue. Our weakness was that we only went to one store for the blow pops and our strengths was that we licked each sucker on one side and kept up with the number of licks. A error that could have occurred was that our source number of licks could’ve been false and that could’ve thrown off our average, invalidating our conclusion. One of the Lurking variables would be the size of an individuals tongue, if the tongue is larger then it could probably require less licks than a person with a smaller tongue. Reflection

12. The End…