CAIE A-Level Mathematics A2 6.4.7 Mean Confidence Intervals Questions

Practise constructing and interpreting confidence intervals for a population mean using a known variance or large sample, an appropriate z-value and the standard error.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

CAIE A-Level Mathematics A2 6.4.7 Mean Confidence Intervals Questions question 1

[Maximum number: 3]

The widths,w cmw \mathrm{~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].

Calculate an estimate of the population standard deviation.

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