The accompanying data table contains chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for the analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Complete parts (a) and (b) below.- Click the icon to view the table of chest deceleration measurements.- Click the icon to view the table of analysis of variance results.### Questions**a. What characteristic of the data specifically indicates that one-way analysis of variance should be used?**- O A. The population means are approximately normal.- O B. There are three samples of measurements.- O C. The measurements are categorized according to the one characteristic of size.- ● D. Nothing specifically indicates that one-way analysis of variance should be used.**b. If the objective is to test the claim that the three size categories have the same mean chest deceleration, why is the method referred to as analysis of variance?**- O A. The method is based on showing that the population variances are different.- O B. The method is based on estimates of multiple varying population variances.- O C. The method is based on estimates of a common population variance.- ● D. The method is based on showing that the population variances are similar. # Educational Website Transcription### Chest Deceleration Measurements (g) from a Standard Crash Test**Measurements Table:**The table displays chest deceleration measurements, measured in 'g', for vehicles categorized by size: Small, Midsize, and Large.- **Small:** - 44, 39, 37, 54, 39, 44, 42- **Midsize:** - 36, 53, 43, 42, 52, 49, 41- **Large:** - 32, 45, 41, 38, 37, 38, 33### SPSS ANOVA Results**Analysis of Variance Table:**This table summarizes the results of an ANOVA (Analysis of Variance) test conducted to compare the mean chest deceleration measurements across the three vehicle size categories.- **Sum of Squares:** - **Between Groups:** 200.857 - **Within Groups:** 549.714 - **Total:** 750.571- **Degrees of Freedom (df):** - **Between Groups:** 2 - **Within Groups:** 18 - **Total:** 20- **Mean Square:** - **Between Groups:** 100.429 - **Within Groups:** 30.540- **F-value:** 3.288- **Significance (Sig.):** 0.061### Interpretation:The F-value of 3.288 and a significance level of 0.061 suggest that there may be a statistically significant difference between at least two of the vehicle size categories concerning chest deceleration measurements. However, this level of significance (p > 0.05) indicates that the results are only suggestive, not definitive, of a significant effect.

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Answered: a. What characteristic of the data…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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