Observations on the shear strength of concrete from 5 randomly selected structures are: 1718.4, 1787.4, 2562.3, 2356.9, and 2153.2. The null hypothesis H 0 : median = 2000 is tested against H 1 : median > 2000 at a 5% level of significance. Which of the following statements is true?

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Mathematics · Nonparametric Statistics

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H 0 is NOT rejected at the 5% level of significance by the sign test

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Answer 1

If P H 0 (W + ≥ 14) = 0.06, then H 0 is rejected at the 5% level of significance by the Wilcoxon signed-rank test

Answer 2

The observed value of the Wilcoxon signed-rank test statistic W + is equal to 10

Answer 3

H 0 is NOT rejected at the 5% level of significance by the sign test

Answer 4

The p-value of the sign test is 0.04

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