Mathematics 9709/62 — February/March 2021

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

questions

marks

minutes

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

Q1Sampling and EstimationFree sample

A construction company notes the time, $t$ days, that it takes to build each house of a certain design. The results for a random sample of 60 such houses are summarised as follows.

\sum t = 4820 \quad \sum t^2 = 392\,050

(a)

Calculate a 98% confidence interval for the population mean time.

(b)

Explain why it was necessary to use the Central Limit theorem in part (a).

The rest of this paper

5 more questions

Q2Continuous Random Variables9M
Q3Hypothesis Tests4M
Q4The Poisson Distribution10M
Q5Linear Combinations of Random Variables10M
Q6Hypothesis Tests10M

Loading the full paper…