Mathematics 9709/62 — May/June 2022

Cambridge A-Level · Probability & Statistics 2 · worked solutions for every part, with the mark scheme

questions

marks

minutes

Topics The Poisson Distribution · Sampling and Estimation · Hypothesis Tests · Linear Combinations of Random Variables · Continuous Random Variables

Q1Sampling and EstimationFree sample

(a)

A javelin thrower noted the lengths of a random sample of 50 of her throws. The sample mean was $72.3\text{ m}$ and an unbiased estimate of the population variance was $64.3\text{ m}^2$ .

Find a 92% confidence interval for the population mean length of throws by this athlete.

(b)

A discus thrower wishes to calculate a 92% confidence interval for the population mean length of his throws. He bases his calculation on his first 50 throws in a week.

Comment on this method.

The rest of this paper

6 more questions

Q2Hypothesis Tests5M
Q3The Poisson Distribution6M
Q4Hypothesis Tests · The Poisson Distribution11M
Q5Continuous Random Variables9M
Q6Linear Combinations of Random Variables10M
Q7The Poisson Distribution · Sampling and Estimation · Linear Combinations of Random Variables5M

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