In: Statistics and Probability
Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of 20 people who used the programs provided the following data.
| Program | ||
|---|---|---|
| A | B | C | 
| 520 | 450 | 600 | 
| 400 | 520 | 610 | 
| 490 | 400 | 560 | 
| 510 | 440 | 490 | 
| 490 | 460 | 590 | 
| 640 | 370 | 630 | 
| 550 | 570 | |
Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use α = 0.05.
H0: All populations of test scores are
identical.
Ha: Not all populations of test scores are
identical.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Reject H0. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the three test preparation programs.
Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the three test preparation programs.