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Practice — Non-parametric tests • Wilcoxon matched-pairs signed-rank test

Wilcoxon matched-pairs signed-rank test: check 1
Difficulty: ★★☆
3629 • M4U-EXT-QP-9231-FPS-T444-O1

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 positive ranks.

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 matched-pairs signed-rank test: review variant 1
Difficulty: ★★☆
3630 • M4U-EXT-QP-9231-FPS-T444-O1-V1

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 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.

Log in to check answers and record progress. You can still view solutions.
Wilcoxon matched-pairs signed-rank test: check 2
Difficulty: ★★☆
3631 • M4U-EXT-QP-9231-FPS-T444-O2

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 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.

Log in to check answers and record progress. You can still view solutions.
Wilcoxon matched-pairs signed-rank test: review variant 2
Difficulty: ★★☆
3632 • M4U-EXT-QP-9231-FPS-T444-O2-V1

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 negative ranks.

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 matched-pairs signed-rank test: check 3
Difficulty: ★★☆
3633 • M4U-EXT-QP-9231-FPS-T444-O3

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 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.

Log in to check answers and record progress. You can still view solutions.
Wilcoxon matched-pairs signed-rank test: review variant 3
Difficulty: ★★☆
3634 • M4U-EXT-QP-9231-FPS-T444-O3-V1

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 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.

Log in to check answers and record progress. You can still view solutions.
Wilcoxon matched-pairs signed-rank test: check 4
Difficulty: ★★☆
3635 • M4U-EXT-QP-9231-FPS-T444-O4

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 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.

Log in to check answers and record progress. You can still view solutions.
Wilcoxon matched-pairs signed-rank test: review variant 4
Difficulty: ★★☆
3636 • M4U-EXT-QP-9231-FPS-T444-O4-V1

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 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.

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