The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (A,B,C,D) and four levels of washing cycles (18, 20, 22, and 24 minutes) are specifically selected for analysis. 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16 detergent-washing cycle time combinations. The results (in pounds of dirt removed) are: Washing Cycle Time (in Minutes):
The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (A,B,C,D) and four levels of washing cycles (18, 20, 22, and 24 minutes) are specifically selected for analysis. 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16 detergent-washing cycle time combinations. The results (in pounds of dirt removed) are: Washing Cycle Time (in Minutes):
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
Related questions
Topic Video
Question
The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (A,B,C,D) and four levels of washing cycles (18, 20, 22, and 24 minutes) are specifically selected for analysis. 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16 detergent-washing cycle time combinations. The results (in pounds of dirt removed) are:
Washing Cycle Time (in Minutes):
| Brand | 18 | 20 | 22 | 24 |
| A | 0.11 | 0.13 | 0.17 | 0.17 |
| A | 0.09 | 0.13 | 0.19 | 0.18 |
| B | 0.12 | 0.14 | 0.17 | 0.19 |
| B | 0.1 | 0.15 | 0.18 | 0.17 |
| C | 0.08 | 0.16 | 0.18 | 0.2 |
| C | 0.09 | 0.13 | 0.17 | 0.16 |
| D | 0.11 | 0.12 | 0.16 | 0.15 |
| D | 0.13 | 0.13 | 0.17 | 0.17 |
- PART 1: Output the table from Excel, copy and paste the table into your word document.
- PART 2: Is there an interaction between detergent brand and washing cycle time? Why or why not – use the pvalue to support?
- PART 3: Is there an effect due to detergent brand? Why or why not – use the pvalue to support?
- PART 4: Is there an effect due to washing cycle time? Why or why not – use the pvalue to support?
- PART 5:Which washing cycle times show significantly different results (at alpha = 0.05) in the pounds of dirt removed? Perform Fisher’s LSD. Make sure to include your critical value, LSD, and the mean differences of each pair to support your results. Then state which washing cycles times are significantly different.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
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
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning