Wilcoxon rank-sum 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 rank-sum tests — objective 1

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(2,3,4,5\) and B: \(1,6,7,8,9,10\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the rank sum R for sample A.

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 rank-sum tests — objective 1

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(3,4,5,6,7\) and B: \(1,2,8,9,10,11,12\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the rank sum R for sample A.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Method

Wilcoxon rank-sum tests — objective 2

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(3,4,5,6,7\) and B: \(1,2,8,9,10,11,12\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the corresponding U statistic for A.

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 rank-sum tests — objective 2

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(1,2,3\) and B: \(4,5,6,7\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the corresponding U statistic for A.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Apply

Wilcoxon rank-sum tests — objective 3

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(1,2,3\) and B: \(4,5,6,7\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the exact lower-tail p-value.

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 rank-sum tests — objective 3

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(2,3,4,5\) and B: \(1,6,7,8,9\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the exact lower-tail p-value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Check understanding

Wilcoxon rank-sum tests — objective 4

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(2,3,4,5\) and B: \(1,6,7,8,9\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the null expected rank sum for A.

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 rank-sum tests — objective 4

Maths4U Original · Short practice

Two independent samples have pooled ranks A: \(3,4,5,6,7\) and B: \(1,2,8,9,10,11\). There are no ties. Test whether A tends to be smaller.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the null expected rank sum for A.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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