In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand y 91 98 82 101| 95 88 89 95 89 91 96 77 At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses. O Ho: H, - , Hz H: Not all the population means are equal. Ho: Not all the population means are equal. H: Hy = Hy = Hz Hạ: At least two of the population means are equal. H: At least two of the population means are different. H: My = Hy = Hz Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Hg. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. O Reject Ho. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. O Do not reject H. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. O Reject Ho. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal.

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:In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand y z 91 98 82 101 95 88 89 95 89 91 96 77 At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses. O Ho: Hy = Hy = 42 H.: Not all the population means are equal. O Ho: Not all the population means are equal. H: x = , = 4z O H: 4, = , = 4. H: y * , + z O H: At least two of the population means are equal. H: At least two of the population means are different. H: Mx = y = H2 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. O Reject H. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. O Do not reject H,. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. O Reject H,. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal.

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