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This question related to (single sample)

- Wilcoxon Signed ranks test

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Moore and Ogletree (E6) investigated the readiness of pupils at the beginning of the first grade. They compared scores on a readiness test of pupils who had attended a Head Start program for a full year with the scores of those who had not. Suppose that a random sample of 20 pupils who had not attended a Head Start program achieved the scores on the readiness test shown in Table 2.7. 2.4 he median score of the population represented by this sample is Can we conclude that t less than 45.32? What is the P value for this test? TABLE 2.7 Readiness test scores of pupils who did not attend a Head Start program Readiness Pupil Readiness Pupil score 19 40 35 51 41 27 23 39 21 12 13 14 15 16 17 18 19 20 41 31 46 51 34 37 36 5 52 32 10

Explanation / Answer

using minitab:

Wilcoxon Signed Rank Test: Readiness score

Test of median = 45.32 versus median < 45.32

N for Wilcoxon Estimated
N Test Statistic P Median
Readiness score 20 20 31.0 0.003 37.00

P-value 0.003 which is less than 0.05 so we reject null hypothesis and we conclude that median score of population represented by sample is less than 45.62.

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