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Practice — Non-parametric tests • Wilcoxon rank-sum test

Wilcoxon rank-sum test: check 1
Difficulty: ★★☆
3637 • M4U-EXT-QP-9231-FPS-T445-O1

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.

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Wilcoxon rank-sum test: review variant 1
Difficulty: ★★☆
3638 • M4U-EXT-QP-9231-FPS-T445-O1-V1

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.

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Wilcoxon rank-sum test: check 2
Difficulty: ★★☆
3639 • M4U-EXT-QP-9231-FPS-T445-O2

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.

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Wilcoxon rank-sum test: review variant 2
Difficulty: ★★☆
3640 • M4U-EXT-QP-9231-FPS-T445-O2-V1

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.

Log in to check answers and record progress. You can still view solutions.
Wilcoxon rank-sum test: check 3
Difficulty: ★★☆
3641 • M4U-EXT-QP-9231-FPS-T445-O3

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.

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Wilcoxon rank-sum test: review variant 3
Difficulty: ★★☆
3642 • M4U-EXT-QP-9231-FPS-T445-O3-V1

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.

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Wilcoxon rank-sum test: check 4
Difficulty: ★★☆
3643 • M4U-EXT-QP-9231-FPS-T445-O4

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.

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Wilcoxon rank-sum test: review variant 4
Difficulty: ★★☆
3644 • M4U-EXT-QP-9231-FPS-T445-O4-V1

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.

Log in to check answers and record progress. You can still view solutions.
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