Given the following sampledata of head injury to crash test dummies and a signif

Question

Given the following sampledata of head injury to crash test dummies and a significance levelof = 0.05, test the claim that the four samples come frompopulations with the same mean (1 = 2 = 3 =4). Subcompact Cars Compact Cars Midsize Cars Full-Size Cars 681 643 469 384 428 655 727 656 917 442 525 602 898 514 454 687 420 525 259 360 a. What is the sum of squares betweengroups? b. What is the sum of squares within groups? c. What is the degrees of freedom between groups? d. What is the degrees of freedom within groups? e. What is the F value? f. What is the Fcritical value? g. What is the p-value? h. Based on the p-value describe why you accept/rejectthe hypothesis. Given the following sampledata of head injury to crash test dummies and a significance levelof = 0.05, test the claim that the four samples come frompopulations with the same mean (1 = 2 = 3 =4). Subcompact Cars Compact Cars Midsize Cars Full-Size Cars 681 643 469 384 428 655 727 656 917 442 525 602 898 514 454 687 420 525 259 360 a. What is the sum of squares betweengroups? b. What is the sum of squares within groups? c. What is the degrees of freedom between groups? d. What is the degrees of freedom within groups? e. What is the F value? f. What is the Fcritical value? g. What is the p-value? h. Based on the p-value describe why you accept/rejectthe hypothesis.

Explanation / Answer

a. What is the sum of squares between groups?;;;;20912.3667 b. What is the sum of squares within groups?;;;;;6970.7889 c. What is the degrees of freedom between groups?;;;;;3 d. What is the degrees of freedom within groups?;;;;;;16 e. What is the F value?;;;;;;0.20546.. f. What is the F critical value?;;;;;? g. What is the p-value?0.8911.. h. Based on the p-value describe why you accept/reject thehypothesis. Since the p-value is greater than alpha, do not reject Ho.

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