Transcript Double Pack Tic Tacs

Double Pack Tic Tacs
Introduction
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

Introduction (cont.)
We collected our data and recorded it in a table.
 We conduct a Chi-squared goodness-of-fit test.
 Strengths: The amount of tic tacs in each
sample were equal.
 Weaknesses: Our sample might be too small.
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Data Collection
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.
 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 Observed
of Red
of Yellow
A
29
31
B
25
35
C
38
22
D
33
27
E
29
31
Exploratory Data Analysis
60
50
40
RED
30
Y ELLOW
20
10
0
A
B
C
D
E
Explanatory Data Analysis
Color
Observed
Expected
(O-E)²/E
Red
154
150
.107
Yellow
146
150
.107
Total
300
300
.214
Explanatory Data Analysis
160
Red
Yellow
140
120
100
80
60
40
20
0
Obs
(OE)^2/E
Red Data: Mean –
30.8 SD – 4.4 Min –
25 Q1 – 27 Median –
29 Q3- 35.5 Max – 38
 Yellow Data: Mean –
29.2 SD – 4.4 Min –
22 Q1 – 24.5 Median
– 31 Q3 – 33 Max 35
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Inference Procedure
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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.
Significance Level: α=.05
Sample Size: 5
Significance Test: Chi-squared Goodness of Fit
test
Inference Procedure
‫אַ‬² = ∑ (Observed-Expected)²/Expected =
.214
 P-value = .995
 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.
Reflection
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.
 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 End
Thank You!