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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 4GP

See similar textbooks

Related questions

Question

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here