STATISTICS F/BUSINESS+ECONOMICS-TEXT
STATISTICS F/BUSINESS+ECONOMICS-TEXT
13th Edition
ISBN: 9781305881884
Author: Anderson
Publisher: CENGAGE L
bartleby

Videos

Textbook Question
Book Icon
Chapter 13, Problem 34SE

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. At a .05 level of significance, does there appear to be a difference in the ability of the brands to absorb water?

Brand
x y z
91 99 83
100 96 88
88 94 89
89 99 76
Expert Solution & Answer
Check Mark
To determine

Check whether there is a significant difference among the mean absorbency ratings for the three brands at α=0.05 level of significance.

Answer to Problem 34SE

Yes, there appear to be a difference in the ability of the brands to absorb water.

Explanation of Solution

Calculation:

The data represents the absorbency rate for the three brands.

State the hypotheses:

Null hypothesis:

H0:μ1=μ2=μ3

Alternative hypothesis:

Ha: Not all the population means are equal.

The level of significance is 0.05.

Software procedure:

Step by step procedure to obtain One-Way ANOVA using the MINITAB software:

  • Choose Stat > ANOVA > One-Way.
  • In Response, enter the column of values.
  • In Factor, enter the column of Brands.
  • Click OK.

Output using the MINITAB software is given below:

STATISTICS F/BUSINESS+ECONOMICS-TEXT, Chapter 13, Problem 34SE

From the Minitab output the F-ratio is 7.23 and the p-value is 0.0134.

Decision:

If p-valueα,, reject the null hypothesis H0

If p-value>α, fail to reject the null hypothesis H0

Conclusion:

Here, the p-value is less than the level of significance.

That is, p-value(=0.0134)<α(=0.05).

Therefore, the null hypothesis is rejected.

Hence, there is sufficient evidence to infer that there is a significant difference among the mean absorbency ratings for the three brands at α=0.05 level of significance.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Can you help me solve  problem 38 with steps im stuck.
How do the samples hold up to the efficiency test? What percentages of the samples pass or fail the test? What would be the likelihood of having the following specific number of efficiency test failures in the next 300 processors tested? 1 failures, 5 failures, 10 failures and 20 failures.
The battery temperatures are a major concern for us. Can you analyze and describe the sample data? What are the average and median temperatures? How much variability is there in the temperatures? Is there anything that stands out? Our engineers’ assumption is that the temperature data is normally distributed. If that is the case, what would be the likelihood that the Safety Zone temperature will exceed 5.15 degrees? What is the probability that the Safety Zone temperature will be less than 4.65 degrees? What is the actual percentage of samples that exceed 5.25 degrees or are less than 4.75 degrees? Is the manufacturing process producing units with stable Safety Zone temperatures? Can you check if there are any apparent changes in the temperature pattern? Are there any outliers? A closer look at the Z-scores should help you in this regard.

Chapter 13 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Ch. 13.2 - Four different paints are advertised as having the...Ch. 13.2 - The Consumer Reports Restaurant Customer...Ch. 13.3 - The following data arc from a completely...Ch. 13.3 - The following data are from a completely...Ch. 13.3 - To test whether the mean time needed to mix a...Ch. 13.3 - Refer to exercise 15. Use Fishers LSD procedure to...Ch. 13.3 - The following data are from an experiment designed...Ch. 13.3 - To lest for any significant difference in the...Ch. 13.3 - Refer to exercise 18. Use the Bonferroni...Ch. 13.3 - The International League of Triple-A minor league...Ch. 13.4 - Consider the experimental results for the...Ch. 13.4 - The following data were obtained for a randomized...Ch. 13.4 - An experiment has been conducted for four...Ch. 13.4 - An automobile dealer conducted a test to determine...Ch. 13.4 - The price drivers pay for gasoline often varies a...Ch. 13.4 - The Scholastic Aptitude Test (SAT) contains three...Ch. 13.4 - A study reported in the Journal of the American...Ch. 13.5 - A factorial experiment involving two levels of...Ch. 13.5 - The calculations for a factorial experiment...Ch. 13.5 - A mail-order catalog firm designed a factorial...Ch. 13.5 - An amusement park studied methods for decreasing...Ch. 13.5 - As part of a study designed to compare hybrid and...Ch. 13.5 - A study reported in The Accounting Review examined...Ch. 13 - In a completely randomized experimental design,...Ch. 13 - A study reported in the Journal of Small Business...Ch. 13 - The U.S. Environmental Protection Agency (EPA)...Ch. 13 - The following data show the percentage of 17- to...Ch. 13 - Prob. 38SECh. 13 - In a study conducted to investigate browsing...Ch. 13 - A research firm tests the miles-per-gallon...Ch. 13 - The compact car market in the United States is...Ch. 13 - Prob. 42SECh. 13 - A factorial experiment was designed to test for...Ch. 13 - A manufacturing company designed a factorial...Ch. 13 - Wentworth Medical Center As part of a long-term...Ch. 13 - Compensation for Sales Professionals Suppose that...
Knowledge Booster
Background pattern image
Statistics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License