Answered: Courtney and Lexi wondered if the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text: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 6 bags of each type and counted the number of gummy bears of each color. The data are presented in the table. Courtney and Lexi use a chi-square test for homogeneity to assess differences between the gummy bear brands. Do these data provide convincing evidence that the distributions of color differ for name-brand gummy bears and store-brand gummy bears at the a = 0.05 level? Survey Type Which of the following is false? Name Store Total Red 137 212 349 O Because the P-value of 0.7698 > a = 0.05, we fail Green 53 104 157 to reject Ho. There is not convincing evidence of a difference in the distribution of color for name- Yellow 50 85 135 Color Orange brand and store-brand gummy bears. 81 127 208 White 52 O x? = 1.81 94 146 Total O The hypotheses are Ho: There is no difference in 373 622 995 the distribution of color for name-brand and store- brand gummy bears. H.: There is a difference in the distribution of color for name-brand and store-brand gummy bears. O df = (5 – 1)(2 = 1) = 4 O The expected counts are 137, 212, 53, 104, 50, 85, 81, 127, 52, and 94.

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