Question

In: Statistics and Probability

Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of...

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
400 520 630
480 400 570
530 440 480
480 470 580
640 390 610
550 590

Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

test statistic=____?____

Find the p-value. (Round your answer to three decimal places.)

p-value = ___?___

Solutions

Expert Solution

applying test from Minitab:

Kruskal-Wallis Test: response versus factor

Kruskal-Wallis Test on response

factor N Median Ave Rank Z
A 6 500.0 10.2 -0.16
B 7 450.0 6.0 -2.50
C 7 590.0 15.3 2.65
Overall 20 10.5

H = 8.65 DF = 2 P = 0.013
H = 8.69 DF = 2 P = 0.013 (adjusted for ties)

test statistic H =8.65 (please try 8.69 if this comes wrong)

p-value = 0.013

orchestra answered 2 years ago
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