The heights, $$$h$$$ centimetres, of a random sample of 100 fully grown animals of a certain species were measured. The results are summarised below. $$$ n=100 \quad \Sigma h=7570 \quad \Sigma h^{2}=588050 $$$ Calculate a $$$99 \%$$$ confidence interval for the mean height of animals of this species. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s21_qp_62 Year：2021 Question No：6(b)

Answer:

$\text { '75.7' } \pm z \sqrt{\frac{151.525^{\prime}}{100}}$
$z=2.576$
$72.5$ to $78.9$

Knowledge points:

6.4.7 determine and interpret a confidence interval for a population mean in cases where the population is normally distributed with known variance or where a large sample is used

Answer:

Knowledge points:

Solution:

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