Question

use thee Kruskal-Wallis Test, test each claim and please show work so i understand how to do it!

Exercise 8. Test scores. A researcher compared the math test scores at the end of secondary schools in three countries. 8 students were randomly selected from each of the three countries. Their test scores are listed in the table below. At α = 0.01 can you support the claim that at least one of the grade distributions is different? Canada 578 548 521 555 548 530 502 492 Denmark 568 530 571 569 563 535 561 513 U.S.A. 506 518 485 480 458 456 513 491

Answer 1

We arrange the data combining all three countries increasing order:

456(U), 458(U), 480(U), 485(U), 491(U), 492(C), 502(C), 506(U), 513(U), 513(D), 518(U), 521(C), 530(D), 530(C), 535(D), 548(C), 548(C), 555(C), 561(D), 563(D), 568 (D), 569 (D), 571 (D), 578(C);

where letter within parentheses indicates the first letter of the country name. For example, C stands for Canada, D stands for Denmark, U stands for USA and 456(U) means 456 comes from USA and so on.