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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-TD-G011 markL1 FoundationNon-calculatorIntervals
How many degrees of freedom are used for a tt-interval from a sample of 12?

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-Q011 markL1 FoundationNon-calculatorIntervals
Compared with N(0,1)N(0,1), the tt-distribution has
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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-X011 markL1 FoundationNon-calculatorIntervals
How many degrees of freedom are used for a tt-test on a sample of 88?

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-X021 markL1 FoundationNon-calculatorIntervals
A sample of 99 has s=3s=3. Find the estimated standard error of the mean.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-X061 markL1 FoundationNon-calculatort-tests
A paired tt-test is appropriate when
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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-0013 marksL2 StandardCalculatorIntervals
n=10n=10, xˉ=50\bar x=50, s=4s=4, and t9(97.5%)=2.262t_9(97.5\%)=2.262. Find the upper limit of the 95% confidence interval (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-0022 marksL2 StandardCalculatort-tests
With the same data, find the test statistic for H0:μ=48H_0:\mu=48 (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-0032 marksL2 StandardCalculatorIntervals
A sample of 5 has ∑x=40\sum x=40 and ∑x2=330\sum x^2=330. Find the unbiased estimate of the population variance.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-X032 marksL2 StandardNon-calculatorIntervals
For the same sample, with t8(97.5%)=2.306t_8(97.5\%)=2.306, find the half-width of the 95% confidence interval.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-X042 marksL2 StandardNon-calculatort-tests
A sample of 1616 has xˉ=52\bar x=52 and s=4s=4. Find the test statistic for H0:μ=50H_0:\mu=50.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-X052 marksL2 StandardNon-calculatorIntervals
A sample of 44 has ∑x=20\sum x=20 and ∑x2=110\sum x^2=110. Find the unbiased estimate of the variance.

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Salam Academy Original Practice · Proposed mark scheme
SA-ST-TD-0042 marksL3 ExamCalculatort-tests
Eight patients' blood pressures fall by differences with mean dˉ=5\bar d=5 and sd=6s_d=6. Find the paired tt statistic for H0:μd=0H_0:\mu_d=0 (3 s.f.).

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Salam Academy Original Practice · Proposed mark scheme