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 x y z 91 98 82 99 97 88 88 93 88 90 100 78 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. H0: Not all the population means are equal. Ha: ?x = ?y = ?zH0: ?x = ?y = ?z Ha: ?x ≠ ?y ≠ ?z H0: ?x = ?y = ?z Ha: Not all the population means are equal.H0: At least two of the population means are equal. Ha: At least two of the population means are different.H0: ?x ≠ ?y ≠ ?z Ha: ?x = ?y = ?z 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.) . State your conclusion. Reject H0. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. Do not reject H0. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. Reject H0. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. Do not reject H0. There is not 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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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
x	y	z
91	98	82
99	97	88
88	93	88
90	100	78

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.

H₀: Not all the population means are equal.
H_a: ?_x = ?_y = ?_zH₀: ?_x = ?_y = ?_z
H_a: ?_x ≠ ?_y ≠ ?_z H₀: ?_x = ?_y = ?_z
H_a: Not all the population means are equal.H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: ?_x ≠ ?_y ≠ ?_z
H_a: ?_x = ?_y = ?_z