Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Tests of Hypotheses
Observations on the shear strength of concrete from 5 randomly selected structures are given below:
| Structure | 1 | 2 | 3 | 4 | 5 |
| Shear strength | 1718.4 | 1787.4 | 2562.3 | 2356.9 | 2153.2 |
The null hypothesis H0 that the median shear strength is 2000 units is tested against the alternative hypothesis H1 that the median shear strength is greater than 2000 units at 5% level of significance. Which of the following statements are true?
1
p-value of the sign test is 0.04
2
H0 is NOT rejected at 5% level of significance by the sign test
3
The observed value of Wilcoxon signed rank test statistic W+ is equal to 10
4
If PH0(W+ ≥ 14) = 0.06, then A, is rejected at 5% level of significance by the Wilcoxon signed rank test