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Gummy bears Courtney and Lexi wondered if the distribution of color was

the same for name-brand gummy bears (Haribo Gold) and store-brand gummy bears

(Great Value). To investigate, they randomly selected bags of each type and counted the

number of gummy bears of each color.

Do these data provide convincing evidence that the distributions of color differ for name-

brand gummy bears and store-brand gummy bears?

Here are the data:

Short Answer

Expert verified

There's not adequate prove to conclude that there's a contrast within the color between title brand Gummy bears and store-brand Gummy bears

Step by step solution

01

Given information

We have been given the color, name and brand for different gummy bears.

02

Explanation

Null Hypothesis; Ho - there's no distinction within the color between name-brand Gummy bears and store-brand Gummy bears Alternative Theory; Ha - there's a contrast in the color between name-brand Gummy bears and store brand Gummy bears We will run one-way ANOVA test to see in the event that there exists any contrast between the two.

SourceSSdf
MS
Between Treatments6200.1
1
6200.1
F=3.08263
Within-Treatments16090.4
8
2011.3

Total22290.5
9


The fratio value is 3.08263.The p-valueis117204. The result is not significant atp<.05


1
2
3
4
5
Total
N5
5



10
X
373
622



995
Mean74.6
124.4



99.5
X^2
33343
87950



12193
Std.Dev37.1389
51.413



49.7667

F-statistics=3.08263

p-value=0.1172

Since p-value>significance value which means it is insignificant and we fail to reject the null hypothesis

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