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How Many Licks?. 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. - PowerPoint PPT Presentation

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Page 1: How Many Licks?
Page 2: How Many Licks?

Introduction and Research Introduction and Research QuestionQuestion

1.1. How many licks would it take to get to How many licks would it take to get to the center of a tootsie pop?the center of a tootsie pop?

2.2. We are using a sample size of 22 We are using a sample size of 22 individuals.individuals.

3.3. The sample size is given a tootsie pop to The sample size is given a tootsie pop to lick one of the sides. All the while the lick one of the sides. All the while the individual should keep accurate counts of individual should keep accurate counts of how many licks they lick until the center how many licks they lick until the center is reached. Record observations.is reached. Record observations.

Page 3: How Many Licks?

Data CollectionData Collection

1.1. We recorded the amount of licks it We recorded the amount of licks it took to reach the center for each took to reach the center for each individual.individual.

2.2. We are confident that our sample size We are confident that our sample size is a good representation of the is a good representation of the population because we randomly population because we randomly chose people throughout the school, chose people throughout the school, despite the fact that our sample is a despite the fact that our sample is a Convenience Sample.Convenience Sample.

Page 4: How Many Licks?

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 Green 610

10 Luhanna Purple 601

11 Kara Red 595

12 Jalen Orange 141

13 Kristen Dark Red 544

14 Tinere Purple 394

15 Paris Purple 378

16 Christian Green 414

17 Cordarius Blue 378

18 Kendall Orange 607

19 Regina Blue 272

20 Janel Dark Red 480

21 Tarae Pink 689

22 Taron Blue 572

Data ChartData Chart

Page 5: How Many Licks?

Good Data Summaries!!Good Data Summaries!! Mean=> 508.27Mean=> 508.27 Standard Deviation=> 159.9Standard Deviation=> 159.9 5 # Summary=> 5 # Summary=>

Min:141;Q1:394;Med:541.5;Q3:601;Max:Min:141;Q1:394;Med:541.5;Q3:601;Max:799799

Page 6: How Many Licks?

Histogram

0

500

1000Bl

ue Red

Dark

Red

Ora

nge

Purp

le

Bin

Frequency

Frequency

Page 7: How Many Licks?

Description Of StatsDescription Of Stats

Shape: Graph is roughly symmetricShape: Graph is roughly symmetric Outliers: Individuals with licks that Outliers: Individuals with licks that

contained 765 and 799.contained 765 and 799.

Page 8: How Many Licks?

HypothesisHypothesis

HH°: The number of licks to get to the °: The number of licks to get to the center of a tootsie pop is equal to center of a tootsie pop is equal to 254.254.

HHαα: The number of licks to get to the : The number of licks to get to the center of a tootsie pop is greater or center of a tootsie pop is greater or less than 254.less than 254.

Page 9: How Many Licks?

Time to Test!!Time to Test!! Significance level: .05Significance level: .05 Sample size: 22Sample size: 22We will use a one sample t test to see if We will use a one sample t test to see if

the average number of licks to get to the average number of licks to get to the center of a tootsie pop is truly 254.the center of a tootsie pop is truly 254.

Conditions:Conditions:Our sample comes from a SRSOur sample comes from a SRSPopulation is normalPopulation is normal

Page 10: How Many Licks?

Testing!Testing!

t=t=x-µx-µ

s/ns/n

t=t=254-22254-22

82/2282/22

OOur t value is 62.2ur t value is 62.2

p value is:3.0086p value is:3.0086

Page 11: How Many Licks?

ConclusionConclusion

We reject Ho because We reject Ho because the number of the number of licks to get to the center of a tootsie licks to get to the center of a tootsie pop is not equal to 254.pop is not equal to 254.

Page 12: How Many Licks?

ReflectionReflection

We could have made this better by We could have made this better by using a larger sample size so we using a larger sample size so we could get a better distribution on our could get a better distribution on our graph.graph.