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A company has recently released a new tablet and wants to understand what drives customer satisfaction with the product. They believe that both quality and cost may be important. They determine that customers rate quality as "high", "average" or "low" and cost as "cheap", "average" or "expensive". To evaluate the tablet, they found 10 customers for each quality/cost pair and asked them to rate their satisfaction on a scale of 1 (low) to 10 (high). They would like to know, at an alpha of 0.05, if cost and/or quality lead to significant differences in customer satisfaction. You conducted an ANOVA and the results are below. Cheap Average Expensive Low 7.10 5.90 4.20 5.73 Average High 6.30 5.10 4.40 5.27 7,50 5.10 5.10 5.90 6.97 5.37 4.57 ANOVA Source of Variation df 2 3.233333 1.163483 0.317561 3.109311 MS F P-value F crit Sample 6.466667 Columns 89.6 44.8 16.12084 1.28E-06 3.109311 Interaction 9.733333 4 2.433333 0.875611 0.482338 2.484441 Within 225.1 81 2.779012 Total 330.9 89 This is a two factor ANOVA test. Is there replication (yes or no)? What are the null and alternative hypotheses (you must state all of them)? What are the critical values and their associated test statistics (you must clearly indicate pairs)? d. а. b. с. For each hypothesis set, indicate if you reject or fail to reject the null hypothesis.

A company has recently released a new tablet and wants to understand what drives customer satisfaction with the product. They believe that both quality and cost may be important. They determine that customers rate quality as "high", "average" or "low" and cost as "cheap", "average" or "expensive". To evaluate the tablet, they found 10 customers for each quality/cost pair and asked them to rate their satisfaction on a scale of 1 (low) to 10 (high). They would like to know, at an alpha of 0.05, if cost and/or quality lead to significant differences in customer satisfaction. You conducted an ANOVA and the results are below. Cheap Average Expensive Low 7.10 5.90 4.20 5.73 Average High 6.30 5.10 4.40 5.27 7,50 5.10 5.10 5.90 6.97 5.37 4.57 ANOVA Source of Variation df 2 3.233333 1.163483 0.317561 3.109311 MS F P-value F crit Sample 6.466667 Columns 89.6 44.8 16.12084 1.28E-06 3.109311 Interaction 9.733333 4 2.433333 0.875611 0.482338 2.484441 Within 225.1 81 2.779012 Total 330.9 89 This is a two factor ANOVA test. Is there replication (yes or no)? What are the null and alternative hypotheses (you must state all of them)? What are the critical values and their associated test statistics (you must clearly indicate pairs)? d. а. b. с. For each hypothesis set, indicate if you reject or fail to reject the null hypothesis.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Quantitative Question 1 A company has recently released a new tablet and wants to understand what drives customer satisfaction with the product. They believe that both quality and cost may be important. They determine that customers rate quality as "high", "average" or "low" and cost as "cheap", "average" or "expensive". To evaluate the tablet, they found 10 customers for each quality/cost pair and asked them to rate their satisfaction on a scale of 1 (low) to 10 (high). They would like to know, at an alpha of 0.05, if cost and/or quality lead to significant differences in customer satisfaction. You conducted an ANOVA and the results are below. Cheap Average Expensive Low 7.10 5.90 4.20 5.73 Average High 6.30 5.10 4.40 5.27 7.50 5.10 5.10 5.90 6.97 5.37 4.57 ANOVA F crit Source of Variation Sample S df MS F P-value 6.466667 2 3.233333 1.163483 0.317561 3.109311 Columns 89.6 44.8 16.12084 1.28E-06 3.109311 Interaction 9.733333 4 2.433333 0.875611 0.482338 2.484441 Within 225.1 81 2.779012 Total 330.9 89 This is a two factor ANOVA test. Is there replication (yes or no)? What are the null and alternative hypotheses (you must state all of them)? а. b. What are the critical values and their associated test statistics (you must clearly indicate pairs)? d. с. For each hypothesis set, indicate if you reject or fail to reject the null hypothesis.
Transcribed Image Text:Quantitative Question 1 A company has recently released a new tablet and wants to understand what drives customer satisfaction with the product. They believe that both quality and cost may be important. They determine that customers rate quality as "high", "average" or "low" and cost as "cheap", "average" or "expensive". To evaluate the tablet, they found 10 customers for each quality/cost pair and asked them to rate their satisfaction on a scale of 1 (low) to 10 (high). They would like to know, at an alpha of 0.05, if cost and/or quality lead to significant differences in customer satisfaction. You conducted an ANOVA and the results are below. Cheap Average Expensive Low 7.10 5.90 4.20 5.73 Average High 6.30 5.10 4.40 5.27 7.50 5.10 5.10 5.90 6.97 5.37 4.57 ANOVA F crit Source of Variation Sample S df MS F P-value 6.466667 2 3.233333 1.163483 0.317561 3.109311 Columns 89.6 44.8 16.12084 1.28E-06 3.109311 Interaction 9.733333 4 2.433333 0.875611 0.482338 2.484441 Within 225.1 81 2.779012 Total 330.9 89 This is a two factor ANOVA test. Is there replication (yes or no)? What are the null and alternative hypotheses (you must state all of them)? а. b. What are the critical values and their associated test statistics (you must clearly indicate pairs)? d. с. For each hypothesis set, indicate if you reject or fail to reject the null hypothesis.
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