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Strength (psi) ANOVA Question Compressive strength of concrete is being studied. Four different mixing techniques are being investigated. The following data have been collected. Determine if the mixing techniques affect the compressive strength of the concrete. Unstaked Data Mixing Type 2 3 2800 2900 2985 2960 2950 1 3129 3200 3200 3300 2965 2975 2990 3150 3050 3025 4 2600 2555 2600 2665 2650 Stacked Data Mixing Type 1 1 1 1 1 2 2 2 2 2 3 3 3 Compressive Strength (psi) 3129 3200 2965 2990 3050 3200 3300 2975 3150 3025 2800 2900 2985

Strength (psi) ANOVA Question Compressive strength of concrete is being studied. Four different mixing techniques are being investigated. The following data have been collected. Determine if the mixing techniques affect the compressive strength of the concrete. Unstaked Data Mixing Type 2 3 2800 2900 2985 2960 2950 1 3129 3200 3200 3300 2965 2975 2990 3150 3050 3025 4 2600 2555 2600 2665 2650 Stacked Data Mixing Type 1 1 1 1 1 2 2 2 2 2 3 3 3 Compressive Strength (psi) 3129 3200 2965 2990 3050 3200 3300 2975 3150 3025 2800 2900 2985

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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Compressive Strength (psi) ANOVA Question Compressive strength of concrete is being studied. Four different mixing techniques are being investigated. The following data have been collected. Determine if the mixing techniques affect the compressive strength of the concrete. Unstaked Data 1 3129 3200 2965 2990 3050 Mixing Type 2 3 3200 3300 2975 3150 3025 2800 2900 2985 2960 2950 4 2600 2555 2600 2665 2650 Stacked Data Mixing Type 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 Compressive Strength (psi) 3129 3200 2965 2990 3050 3200 3300 2975 3150 3025 2800 2900 2985 2960 2950 2600 2555 2600 2665 2650
Transcribed Image Text:Compressive Strength (psi) ANOVA Question Compressive strength of concrete is being studied. Four different mixing techniques are being investigated. The following data have been collected. Determine if the mixing techniques affect the compressive strength of the concrete. Unstaked Data 1 3129 3200 2965 2990 3050 Mixing Type 2 3 3200 3300 2975 3150 3025 2800 2900 2985 2960 2950 4 2600 2555 2600 2665 2650 Stacked Data Mixing Type 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 Compressive Strength (psi) 3129 3200 2965 2990 3050 3200 3300 2975 3150 3025 2800 2900 2985 2960 2950 2600 2555 2600 2665 2650
1. ANOVA 1.1. Identify the treatment (factor) and the dependent variable (response). 1.1.1 How many levels of the treatment (factor) do you use in this experiment? 1.1.2. How many replicates do you use in this experiment? 1.1.3. Comment on the degree of freedom values for each source of variation. How do you calculate them? 1.2. Construct comparative box plots and study the data. 1.2.1. What visual impression do you have from examining these plots? 1.2.2. Are there visual differences between the mean of the responses? 1.2.3. If there is a visual difference between the mean of the responses, do you think this is the result of within-group variation or between-group variation?
Transcribed Image Text:1. ANOVA 1.1. Identify the treatment (factor) and the dependent variable (response). 1.1.1 How many levels of the treatment (factor) do you use in this experiment? 1.1.2. How many replicates do you use in this experiment? 1.1.3. Comment on the degree of freedom values for each source of variation. How do you calculate them? 1.2. Construct comparative box plots and study the data. 1.2.1. What visual impression do you have from examining these plots? 1.2.2. Are there visual differences between the mean of the responses? 1.2.3. If there is a visual difference between the mean of the responses, do you think this is the result of within-group variation or between-group variation?
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