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Chapter 11: Q. 35 (page 754)

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
ΣX
373
622



995
Mean74.6
124.4



99.5
ΣX^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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Most popular questions from this chapter

Recent revenue shortfalls in a midwestern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 25%tuition increase. It was determined that such an increase was needed simply to compensate for the lost support from the state. Separate random samples of 50freshmen, 50sophomores, 50juniors, and 50seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the university's budget at current levels. Here are the results:

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