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How Many Licks?
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Introduction and Research Question
How many licks would it take to get to the center of a tootsie pop? We are using a sample size of 22 individuals. The sample size is given a tootsie pop to lick one of the sides. All the while the individual should keep accurate counts of how many licks they lick until the center is reached. Record observations.
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Data Collection We recorded the amount of licks it took to reach the center for each individual. We are confident that our sample size is a good representation of the population because we randomly chose people throughout the school, despite the fact that our sample is a Convenience Sample.
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Data Chart Trial # Test Subjects Color # of Licks 1 Travis Blue 474 2
Sam Red 522 3 Jessica Dark Red 233 4 Calvin Orange 590 5 Brandon Purple 765 6 Mariah Brown 799 7 Rachel Green 585 8 Jade Pink 539 9 Alexis 610 10 Luhanna 601 11 Kara 595 12 Jalen 141 13 Kristen 544 14 Tinere 394 15 Paris 378 16 Christian 414 17 Cordarius 18 Kendall 607 19 Regina 272 20 Janel 480 21 Tarae 689 22 Taron 572
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Good Data Summaries!! Mean=> 508.27 Standard Deviation=> 159.9
5 # Summary=> Min:141;Q1:394;Med:541.5;Q3:601;Max:799
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Description Of Stats Shape: Graph is roughly symmetric
Outliers: Individuals with licks that contained 765 and 799.
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Hypothesis H°: The number of licks to get to the center of a tootsie pop is equal to 254. Hα: The number of licks to get to the center of a tootsie pop is greater or less than 254.
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Time to Test!! Significance level: .05 Sample size: 22
We will use a one sample t test to see if the average number of licks to get to the center of a tootsie pop is truly 254. Conditions: Our sample comes from a SRS Population is normal
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Testing! t=x-µ s/n t=254-22 82/22 Our t value is 62.2
p value is:3.0086
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Conclusion We reject Ho because the number of licks to get to the center of a tootsie pop is not equal to 254.
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Reflection We could have made this better by using a larger sample size so we could get a better distribution on our graph.
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