Question

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

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

Given information

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

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.

Source	SS	$df$	MS
Between Treatments	$6200.1$	$1$	$6200.1$	$F=3.08263$
Within-Treatments	$16090.4$	$8$	$2011.3$
Total	$22290.5$	$9$

The $f$ratio value is $3.08263$.The $p-value$is$117204$. The result is not significant at$p<.05$

	$1$	$2$	$3$	$4$	$5$	Total
N	$5$	$5$				$10$
$\Sigma X$	$373$	$622$				$995$
Mean	$74.6$	$124.4$				$99.5$
$\Sigma X^2$	$33343$	$87950$				$12193$
Std.Dev	$37.1389$	$51.413$				$49.7667$

$F$-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