Chest deceleration measurements were made on dummies in car crash tests involvin

Question

Chest deceleration measurements were made on dummies in car crash tests involving small, medium and large cars to investigate whether the size of the car was related to crash trauma. Smaller measurements correspond to less trauma to the crash test dummies. The data are given in the following table. a) State the null and alternative hypotheses for the ANOVA test. b) Use SPSS to carry out the ANOVA, and report the test statistic and p-value. c) Write a brief conclusion of the ANOVA analysis. d) Carry out the Bonferroni's multiple comparisons and summarize the results, if appropriate.

Explanation / Answer

a)Hypothesis:

H0: all samples have same means

Ha: there is significant difference between at least 1 pair

b)

c) P-value<0.05; so reject H0 and conclude that all populations are different.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Small 10 447 44.7 19.34444 Medium 10 421 42.1 18.98889 Large 10 390 39 21.33333 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 162.8667 2 81.43333 4.094413 0.027986 3.354131 Within Groups 537 27 19.88889 Total 699.8667 29 Anova: Single Factor SUMMARY Groups Count Sum Average Variance Small 10 447 44.7 19.34444 Medium 10 421 42.1 18.98889 Large 10 390 39 21.33333 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 162.8667 2 81.43333 4.094413 0.027986 3.354131 Within Groups 537 27 19.88889 Total 699.8667 29

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.