CAIE A-Level Mathematics A2 6.4.5 Sample Mean Questions
Practise deciding when the Central Limit Theorem is needed and using an approximate normal model for large-sample means.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- A2
CAIE A-Level Mathematics A2 6.4.5 Sample Mean Questions question 1
[Maximum number: 1]
The widths，w cm ，of a random sample of 150 leaves of a certain kind were measured．The sample mean of w was found to be 3.12 cm ．
Using this sample，an approximate 95 % confidence interval for the population mean of the widths in centimetres was found to be［3．01，3．23］．
Explain whether it was necessary to use the Central Limit theorem in your answer to part（a）．［1］
Yes, because population [of widths] not given to be normally distributed
Or 'underlying distribution' instead of population. Allow 'yes, because population distribution not known'. Need both statements.
1
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