Essentials Of Statistics For Business & Economics
Essentials Of Statistics For Business & Economics
9th Edition
ISBN: 9780357045435
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
bartleby

Videos

Textbook Question
Book Icon
Chapter 13, Problem 34E

Paper Towel Absorption. 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?

Chapter 13, Problem 34E, Paper Towel Absorption. In a completely randomized experimental design, three brands of paper towels

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 34E

Yes, there appears 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.

Assume that, μ1, μ2 and μ3 denote the population means of three brands x, y and z respectively.

The test hypotheses are given below:

Null hypothesis:

H0:μ1=μ2=μ3

Alternative hypothesis:

Ha: At least one of the means is not equal.

It is given that the level of significance as 0.05.

One-way Anova:

Software procedure:

Step-by-step procedure to obtain One-way Anova using the EXCEL:

  • Enter the data in an EXCEL sheet.
  • On Data tab in Analysis group, click Data Analysis.
  • Select Anova: Single Factor.
  • Click Ok.
  • Click in the Input Range box, select the range $A$1: $C$5.
  • Click in the Output range, select $G$1
  • Click OK.

Output using the EXCEL software is given below:

Essentials Of Statistics For Business & Economics, Chapter 13, Problem 34E

From the EXCEL 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!

Chapter 13 Solutions

Essentials Of Statistics For Business & Economics

Ch. 13.2 - Paint-Drying Robots. How long it takes paint to...Ch. 13.2 - Restaurant Satisfaction. The Consumer Reports...Ch. 13.3 - The following data are from a completely...Ch. 13.3 - The following data are from a completely...Ch. 13.3 - Testing Chemical Processes. To test whether the...Ch. 13.3 - Confidence Intervals for Different Processes....Ch. 13.3 - Marketing Ethics. In the digital age of marketing,...Ch. 13.3 - Machine Breakdowns. To test for any significant...Ch. 13.3 - Testing Time to Breakdown Between All Pairs of...Ch. 13.3 - Minor league Baseball Attendance. The...Ch. 13.4 - Consider the experimental results for the...Ch. 13.4 - Prob. 22ECh. 13.4 - An experiment has been conducted for four...Ch. 13.4 - Auto Tune-Ups. An automobile dealer conducted a...Ch. 13.4 - Airfares on Travel Websites. Are there differences...Ch. 13.4 - SAT Performance. The Scholastic Aptitude Test...Ch. 13.4 - Consumer Preferences. In 2018, consumer goods...Ch. 13.5 - A factorial experiment involving two levels of...Ch. 13.5 - The calculations for a factorial experiment...Ch. 13.5 - Mobile App Website Design. Based on a 2018 study,...Ch. 13.5 - Amusement Park Queues. An amusement park studied...Ch. 13.5 - Auto Fuel Efficiency. As part of a study designed...Ch. 13.5 - Tax Research. A study reported in The Accounting...Ch. 13 - Paper Towel Absorption. In a completely randomized...Ch. 13 - Job Satisfaction. A study reported in the Journal...Ch. 13 - Prob. 36SECh. 13 - College Attendance Rates. The following data show...Ch. 13 - Assembly Methods. Three different assembly methods...Ch. 13 - Job Automation. A Pew Research study conducted in...Ch. 13 - Fuel Efficiency of Gasoline Brands. A research...Ch. 13 - Late-Night Talk Show Viewership. Jimmy Kimmel...Ch. 13 - Golf Club Design. A major manufacturer of golf...Ch. 13 - Language Translation. A factorial experiment was...Ch. 13 - Defective Parts. A manufacturing company designed...Ch. 13 - CASE PROBLEM 1: WENTWORTH MEDICAL CENTER As part...Ch. 13 - CASE PROBLEM 2: COMPENSATION FOR SALES...Ch. 13 - TOURISTOPIA TRAVEL TourisTopia Travel (Triple T)...
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.
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY