CAIE A-Level Mathematics A2 6.4.1 Samples and Populations Questions
Practise explaining sampling choices and judging the reliability of estimates from sample data.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- A2
Exam points
- explain why samples are used instead of whole populations
- identify conditions needed for reliable sample estimates
- interpret sample statistics as estimates of population parameters
CAIE A-Level Mathematics A2 6.4.1 Samples and Populations Questions question 1
[Maximum number: 1]
Batteries of type A are known to have a mean life of 150 hours. It is required to test whether a new type of battery, type B, has a shorter mean life than type A batteries.
Give a reason for using a sample rather than the whole population in carrying out this test.
A random sample of 120 type B batteries are tested and it is found that their mean life is 147 hours, and an unbiased estimate of the population variance is 225 hours 2.
Batteries unusable after testing or Population too big
or too costly or too time consuming to use the whole population oe
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