1. By: John Marron Nicole Scamuffo
JOLLY RANCHERS
By: John Marron
Nicole Scamuffo

2. DESCRIPTION OF TOPIC Distribution of color Time it takes to dissolve:
warm vs. cold water
stirring vs. not stirring

3. HISTORY OF JOLLY RANCHERS
Originally produced by Jolly Rancher Company
Founded in 1949 by Bill and Dorothy Harmsen
Sold to Beatrice Foods in 1966
Purchased by Leaf Candy Company in 1983
1996 Hershey bought the Jolly Rancher Candy Company

4. NEED TO KNOW
We used the “original” Jolly Rancher which contain 5 flavors:
Blue Raspberry Cherry
Grape
Green Apple
Watermelon

5. OBSERVATIONAL STUDY 1 bag of Jolly Ranchers from 3 stores = 3 bags
Each bag is estimated to have 66 hard candies
Claimed that the colors are evenly distributed within bags
Grouped colors together from all 3 bags

6. CHI- SQUARED GRAPH

7. ANALYSIS & CONCLUSION Larger overall total: Smallest overall total:
Red and blue
Smallest overall total:
Purple
Green and pink have around same count
Different stores have different amounts
Based off of this data we feel;
Jolly Rancher company doesn’t fill the bags evenly

8. CHI-SQUARE GOODNESS OF FIT
ASSUMPTIONS
STATE
SRS
All expected counts ≥ 5
CHECK
assumed
All expected counts ≥ 5

9. CHI-SQUARE GOODNESS OF FIT
Ho: the observed frequency distribution of Jolly Rancher color fits the expected distribution
Ha: the observed frequency distribution of Jolly Rancher color doesn’t fit the expected distribution
P(x2> Idf =4) = 0.903
We fail to reject Ho because the p-value >α= 0.05
We have sufficient evidence that the observed frequency distribution of Jolly Rancher color fits the expected distribution

10. WARM VS. COLD
1. Determine whether candy dissolves faster in hot water or cold water
Heated up half in the microwave for 5 minutes and refrigerated other half

11. WARM VS. COLD
2. Place 50 jolly ranchers into plastic cups that hold ¼ cup of warm water
3. Place 50 jolly ranchers into plastic cups that hold ¼ cup of cold water
Used calc for random sample

12. WARM VS. COLD
4. Record the amount of time it takes for each jolly rancher to dissolve in the water 5. Perform a 2 sample t-test

13. 2 SAMPLE T-TEST GRAPH

14. ANALYSIS & CONCLUSION As you can see in the two box plots:
Hot water:
Minimum: –outlier
Maximum: 50.5
Mean: 30.97
Q1: 35.22
Q3: 42.43
IQR: 7.21
Cold water:
Minimum: –outlier
Maximum: —outlier
Mean: 75.04
Q1: 71.91
Q3: 76.23
IQR: 4.32
** cold water seemed to have a lot of outliers
Hot water graph is left skewed
Cold water graph is symmetric
Based off of the graphs , we believe that it takes longer for a Jolly Rancher to dissolve in cold water than it take for one to dissolve in warm water

15. 2 SAMPLE T-TEST (pooled)
ASSUMPTIONS
STATE
2 independent SRS
2 normal pops or
n1 and n2 ≥ 30
S1= S2
CHECK
Assumed
n1 and n2 ≥ 30
N1 = 50
N2 = 50
5.6 = 5.1

16. 2 SAMPLE T-TEST POOLED Ho: µw = µc Ha: µw < µc
P(t> I df = 98 ) = <
We reject Ho because the p-value is < α= 0.05.
We have sufficient evidence that the mean of dissolving a Jolly Rancher in warm water is less than the mean of dissolving a Jolly Rancher in cold water

17. STIRRING VS. NOT STIRRING
1. Heated up water for 5 minutes
2. Placed ¼ cup of water into 30 plastic cups containing 1 Jolly Rancher
3. Stirred water with a plastic knife until J.R dissolved

18. STIRRING VS. NOT STIRRING
4. Recorded times
5. Perform 2 sample t-test to determine if stirring has an effect on the amount of time the candy took to dissolve
reused warm water data

19. STIRRING VS. NOT STIRRING GRAPH

20. ANALYSIS & CONCLUSION The graphs show that:
Both graphs are left skewed
Stirring = more clustered and a more extreme skew
Based off of the data we feel that a Jolly Rancher will dissolve faster in warm water while being stirred rather than just sitting in the warm water
Hot water + stirring:
Minimum:
Maximum: 27.59
Mean: 23.53
Q1: 21.66
Q3: 25.6
IQR: 3.94
Hot water:
Minimum: –outlier
Maximum: 50.5
Mean: 30.97
Q1: 35.22
Q3: 42.43
IQR: 7.21

21. 2 SAMPLE T-TEST ASSUMPTIONS STATE CHECK 2 independent SRS Assumed
2 normal pops or
n1 and n2 ≥ 30
CHECK
Assumed
n1 and n2 ≥ 30
N1 = 50
N2 = 30

22. 2 SAMPLE T-TEST Ho: µw = µs Ha: µw > µs = -16.57
P(t> I df = ) = <
We reject Ho because the p- value is < α= 0.05.
We have sufficient evidence that the mean of dissolving a Jolly Rancher in warm water without stirring is greater than the mean of dissolving a Jolly Rancher in warm water while stirring =

23. APPLICATION Applies to people who purchase Jolly Ranchers
Getting a good deal—colors seem to be equally distributed
Melt faster in a warm environment (mouth)

24. BIAS/ERROR 1st study– only took bags from Buck County area
Most likely same distribution center
2nd test– water temperature changed as it sat
Both ended up at room temp
3rd test– different stirring techniques

25. PERSONAL OPINIONS Too much work to do in too little time
Not every store had Jolly Ranchers
Jolly Ranchers took too long to dissolve
Cold water took over an hour
Surprised at the time difference between the temperature waters