Single-sample Wilcoxon signed-rank test · Short practice
Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.
Recall
Wilcoxon signed-rank tests — objective 1
Maths4U Original · Short practice
Independent paired differences are \(-1,2,3,-4,5,6,7,8,9\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find W+, the sum of positive ranks.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Fresh review variant
Wilcoxon signed-rank tests — objective 1
Maths4U Original · Short practice
Independent paired differences are \(-1,-2,3,4,5,6\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find W+, the sum of positive ranks.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Method
Wilcoxon signed-rank tests — objective 2
Maths4U Original · Short practice
Independent paired differences are \(-1,-2,3,4,5,6\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find W−, the sum of negative ranks.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Fresh review variant
Wilcoxon signed-rank tests — objective 2
Maths4U Original · Short practice
Independent paired differences are \(-1,2,-3,4,5,6,7\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find W−, the sum of negative ranks.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Apply
Wilcoxon signed-rank tests — objective 3
Maths4U Original · Short practice
Independent paired differences are \(-1,2,-3,4,5,6,7\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the exact upper-tail p-value for W+.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Fresh review variant
Wilcoxon signed-rank tests — objective 3
Maths4U Original · Short practice
Independent paired differences are \(-1,2,3,-4,5,6,7,8\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the exact upper-tail p-value for W+.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Check understanding
Wilcoxon signed-rank tests — objective 4
Maths4U Original · Short practice
Independent paired differences are \(-1,2,3,-4,5,6,7,8\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the sum of all ranks.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Fresh review variant
Wilcoxon signed-rank tests — objective 4
Maths4U Original · Short practice
Independent paired differences are \(-1,-2,3,4,5,6,7,8,9\). Their absolute values are distinct. Assume a continuous symmetric population of differences and test for a positive shift.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the sum of all ranks.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.