9709 · topic questions
Hypothesis tests
12 past-paper questions on Hypothesis tests
She takes a random sample of 100 such trees in her region and measures their heights, hm. Her results are summarised below. n =…
Practise the full question →Carry out the test.
Practise the full question →A factory owner models the number of employees who use the factory canteen on any day by the distribution B(25, p). In the past…
Practise the full question →Later the inspector carries out a similar test at the 2.5% significance level, using the same hypotheses and another 120 randomly…
Practise the full question →Birgitte has a six-sided dice. She suspects that the dice is biased so that the probability, p, that it will show a six on one…
Practise the full question →The supplier claims that the mean mass of boxes of cereal is 253g. A quality control officer suspects that the mean mass is…
Practise the full question →The masses of cereal boxes filled by a certain machine have mean 510 grams. An adjustment is made to the machine and an inspector…
Practise the full question →Test the passenger's belief at the 5% significance level.
Practise the full question →The number of accidents per year on a certain road has the distribution Po(λ). In the past the value of λ was 3.3. Recently, a…
Practise the full question →The amount of time, in minutes, spent by a customer on one visit to a certain shop is modelled by the random variable X ~ N(μ,…
Practise the full question →Given that the value of p is actually 0.02, calculate the probability of a Type II error.
Practise the full question →Given that X = 2, carry out the test.
Practise the full question →
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Hypothesis tests (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Hypothesis tests. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Hypothesis tests questions are there for 9709?
- This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Hypothesis tests. Each links straight to instant marking against the official 9709 scheme.
- How are Hypothesis tests answers marked?
- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Hypothesis tests first?
- Start with the free Mathematics lesson on Hypothesis tests, then come back and drill past-paper questions under timed conditions.