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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-ST-NP-0011 markL1 FoundationNon-calculatorWilcoxon
For a Wilcoxon signed-rank test with n=8n=8, find P+QP+Q.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-Q011 markL1 FoundationNon-calculatorSign test
A non-parametric test is preferred when
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-X021 markL1 FoundationNon-calculatorWilcoxon
For a Wilcoxon signed-rank test with n=6n=6, find P+QP+Q.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-X041 markL1 FoundationNon-calculatorSign test
A sign test uses 1010 paired differences, of which 22 are zero. What value of nn is used?

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-0022 marksL2 StandardNon-calculatorWilcoxon
Differences: 3,−1,4,6,−2,5,7,83,-1,4,6,-2,5,7,8. Find TT.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-0032 marksL2 StandardNon-calculatorWilcoxon
Values ∣d∣=2,5,5,7|d|=2,5,5,7 are ranked. What rank does each 55 receive?

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-G012 marksL2 StandardCalculatorSign test
In a sign test with 10 non-zero differences, 2 are negative. Find P(X≤2)P(X\le2) for X∼B(10,0.5)X\sim B(10,0.5) (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-X012 marksL2 StandardNon-calculatorSign test
In a sign test with 88 non-zero differences, 11 is negative. Find P(X≤1)P(X\le1) for X∼B(8,0.5)X\sim B(8,0.5).

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-X032 marksL2 StandardNon-calculatorWilcoxon
Differences: 2,−4,5,−1,3,62,-4,5,-1,3,6. Find TT.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-X051 markL2 StandardNon-calculatorWilcoxon
Three tied values of ∣d∣|d| would occupy ranks 44, 55 and 66. What rank does each receive?

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-X061 markL2 StandardNon-calculatorWilcoxon
For large nn, TT is approximately normal with mean n(n+1)4\frac{n(n+1)}4. Find this mean when n=20n=20.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-NP-0042 marksL3 ExamNon-calculatorWilcoxon
For large nn, TT is approximately normal with mean n(n+1)4\frac{n(n+1)}4. Find this mean when n=40n=40.

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Salam Academy Original Practice · Proposed mark scheme