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ANOVA results CHEST Between Groups Within Groups Total Sum of Squares 223.750 860.167 1083.917 Print df 3 44 47 Small 29 31 35 Midsize 32 28 26 Large 27 32 SUV 24 31 31 39 Chest Deceleration Measurements 3222 ANOVA 33 26 Mean Square 74.583 19.549 27 32 218 Done 26 69 21 26 25 31 25 30 39 22 33 19 29 26 34 30 2215 26 34 34 F 3.815 34 26 34 223 222 24 232 31 35 29 26 I Sig. .016 X I

ANOVA results CHEST Between Groups Within Groups Total Sum of Squares 223.750 860.167 1083.917 Print df 3 44 47 Small 29 31 35 Midsize 32 28 26 Large 27 32 SUV 24 31 31 39 Chest Deceleration Measurements 3222 ANOVA 33 26 Mean Square 74.583 19.549 27 32 218 Done 26 69 21 26 25 31 25 30 39 22 33 19 29 26 34 30 2215 26 34 34 F 3.815 34 26 34 223 222 24 232 31 35 29 26 I Sig. .016 X I

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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Question

12.2

The accompanying data table lists measured amounts of chest compression (mm) from car crash tests. Also shown are the SPSS results from analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different car sizes have the same mean amount of chest compression. Click here to view the table of chest deceleration measurements. Click here to view the table of analysis of variance results. What is the value of the test statistic? The test statistic is [blank]. (Round to two decimal places as needed.)
Transcribed Image Text:The accompanying data table lists measured amounts of chest compression (mm) from car crash tests. Also shown are the SPSS results from analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different car sizes have the same mean amount of chest compression. Click here to view the table of chest deceleration measurements. Click here to view the table of analysis of variance results. What is the value of the test statistic? The test statistic is [blank]. (Round to two decimal places as needed.)
## ANOVA Results of Chest Deceleration Measurements ### ANOVA Summary Table **Chest Deceleration Measurements:** | Source | Sum of Squares | df | Mean Square | F | Sig. | |----------------|----------------|----|-------------|------|-------| | Between Groups | 223.750 | 3 | 74.583 | 3.815| .016 | | Within Groups | 860.167 | 44 | 19.549 | | | | Total | 1083.917 | 47 | | | | - **Between Groups:** Measures variation due to interaction between different groups. - **Within Groups:** Measures variance within the individual groups. - **Total:** Overall variance in the dataset. - **F-value:** 3.815, indicates variability between group means compared to within group variability. - **Significance (Sig.):** 0.016, suggests a significant difference between the means of groups. ### Chest Deceleration Measurements Table | | Measurements | |---------|-----------------------------------------------------| | Small | 29, 31, 35, 33, 26, 32, 21, 26, 25, 34, 26, 34 | | Midsize | 32, 28, 26, 23, 23, 26, 19, 29, 26, 20, 22, 22 | | Large | 27, 32, 39, 27, 30, 26, 34, 30, 34, 26, 24, 31 | | SUV | 24, 31, 31, 25, 30, 39, 22, 33, 34, 35, 29, 26 | This table displays the chest deceleration measurements for different vehicle sizes. Each row represents a specific vehicle size category with various recorded measurements. ### Interpretation The statistical analysis using ANOVA demonstrates that there is a statistically significant difference in chest deceleration across different vehicle sizes at the 0.016 significance level. The F-value indicates how much the group means deviate from each other, with a higher value suggesting a greater difference. For further analysis or understanding, users are encouraged to examine the mean measurements for each group to identify specific differences and
Transcribed Image Text:## ANOVA Results of Chest Deceleration Measurements ### ANOVA Summary Table **Chest Deceleration Measurements:** | Source | Sum of Squares | df | Mean Square | F | Sig. | |----------------|----------------|----|-------------|------|-------| | Between Groups | 223.750 | 3 | 74.583 | 3.815| .016 | | Within Groups | 860.167 | 44 | 19.549 | | | | Total | 1083.917 | 47 | | | | - **Between Groups:** Measures variation due to interaction between different groups. - **Within Groups:** Measures variance within the individual groups. - **Total:** Overall variance in the dataset. - **F-value:** 3.815, indicates variability between group means compared to within group variability. - **Significance (Sig.):** 0.016, suggests a significant difference between the means of groups. ### Chest Deceleration Measurements Table | | Measurements | |---------|-----------------------------------------------------| | Small | 29, 31, 35, 33, 26, 32, 21, 26, 25, 34, 26, 34 | | Midsize | 32, 28, 26, 23, 23, 26, 19, 29, 26, 20, 22, 22 | | Large | 27, 32, 39, 27, 30, 26, 34, 30, 34, 26, 24, 31 | | SUV | 24, 31, 31, 25, 30, 39, 22, 33, 34, 35, 29, 26 | This table displays the chest deceleration measurements for different vehicle sizes. Each row represents a specific vehicle size category with various recorded measurements. ### Interpretation The statistical analysis using ANOVA demonstrates that there is a statistically significant difference in chest deceleration across different vehicle sizes at the 0.016 significance level. The F-value indicates how much the group means deviate from each other, with a higher value suggesting a greater difference. For further analysis or understanding, users are encouraged to examine the mean measurements for each group to identify specific differences and
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