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 99 84 101 95 87 87 95 88 89 103 73 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 = ?z -H0: ?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.) Statistic=?? Find the p-value. (Round your answer to three decimal places.) p-value = ?? State your conclusion. -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. -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 not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal.
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 99 84 101 95 87 87 95 88 89 103 73 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 = ?z -H0: ?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.) Statistic=?? Find the p-value. (Round your answer to three decimal places.) p-value = ?? State your conclusion. -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. -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 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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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 | ||
|---|---|---|
| x | y | z |
| 91 | 99 | 84 |
| 101 | 95 | 87 |
| 87 | 95 | 88 |
| 89 | 103 | 73 |
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 = ?z
Ha: ?x = ?y = ?z
-H0: ?x ≠ ?y ≠ ?z
Ha: ?x = ?y = ?z
Ha: ?x = ?y = ?z
--H0: ?x = ?y = ?z
Ha: Not all the population means are equal.
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.
Ha: At least two of the population means are different.
-H0: ?x = ?y = ?z
Ha: ?x ≠ ?y ≠ ?z
Ha: ?x ≠ ?y ≠ ?z
Find the value of the test statistic. (Round your answer to two decimal places.)
Statistic=??
Find the p-value. (Round your answer to three decimal places.)
p-value = ??
State your conclusion.
-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.
-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 not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal.
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