You may need to use the appropriate technology to answer this question. 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 90 99 83 101 95 88 89 93 88 88 97 81 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 Ha: Not all the population means are equal. H- - :H O Ha: At least two of the population means are equal. H: At least two of the population means are different. O Ho: Hy Hy * Hz H3: Hx = Hy = Hz O Ho: Hx = Hy - Hz H: Not all the population means are equal. O Ho: Hx = 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 Reject Hn. 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 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.

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:You may need to use the appropriate technology to answer this question. 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 90 99 83 101 95 | 88 89 93 88 88 97 81 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: Not all the population means are equal. Ha: Hx = Hy = Hz O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: Hx * Hy Hz H3: Hx = Hy = Hz ZrH = ^ri = *rt :°H o H: Not all the population means are equal. O Ho: Hx = Hy = Hz H: Hx * 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 Reject Hn. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. 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 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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