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 91 100 82 100 96 89 89 95 89 88 93 80 #1) 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: A) H0: ?x ≠ ?y ≠ ?z Ha: ?x = ?y = ?z B) H0: ?x = ?y = ?z Ha: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal. Ha: At least two of the population means are different. D) H0: ?x = ?y = ?z Ha: Not all the population means are equal. E) H0: Not all the population means are equal. Ha: ?x = ?y = ?z #2) 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 = #3) State your conclusion. A) Reject H0. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. B) Do not reject H0. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. C)Do not reject H0. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal. D) Reject H0. 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

See similar textbooks

Related questions

Concept explainers

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	100	82
100	96	89
89	95	89
88	93	80

#1) 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:

A) H₀: ?_x ≠ ?_y ≠ ?_z
H_a: ?_x = ?_y = ?_z

B) H₀: ?_x = ?_y = ?_z
H_a: ?_x ≠ ?_y ≠ ?_z

C) H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

D) H₀: ?_x = ?_y = ?_z
H_a: Not all the population means are equal.

E) H₀: Not all the population means are equal.
H_a: ?_x = ?_y = ?_z

#2) 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 =

#3) State your conclusion.

A) Reject H₀. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal.

B) Do not reject H₀. There is not sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal.

C)Do not reject H₀. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal.

D) Reject H₀. There is sufficient evidence to conclude that the mean absorbency ratings for the three brands are not all equal.

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions