A study on the impact of a 35 mi/hr car crash on the head was conducted on 20 cars classified into 4 groups based on their size. The results of the study are reported below with the data in units of standard head injury condition (hic).  Use the Kruskal-Wallis test with a 0.05 level of significance to test the hypothesis that the size of the car has an influence on the amount of head injury.    State the null and alternative hypothesis  Calculate the test statistic  The critical value, your decision and conclusion.   Subcompact 681 428 917 898 420 Compact 643 655 442 514 525 Midsize 469 727 525 454 259 Full-size 384 656 602 687 360

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Author:Amos Gilat
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A study on the impact of a 35 mi/hr car crash on the head was conducted on 20 cars classified into 4 groups based on their size. The results of the study are reported below with the data in units of standard head injury condition (hic).  Use the Kruskal-Wallis test with a 0.05 level of significance to test the hypothesis that the size of the car has an influence on the amount of head injury.   

  1. State the null and alternative hypothesis 
  2. Calculate the test statistic 
  3. The critical value, your decision and conclusion.

 

Subcompact

681

428

917

898

420

Compact

643

655

442

514

525

Midsize

469

727

525

454

259

Full-size

384

656

602

687

360

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