9709/71

Mathematics 9709/71October/November 2018

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

7
questions
50
marks
75
minutes

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

Q1Sampling and EstimationFree sample

The standard deviation of the heights of adult males is 7.2 cm7.2\text{ cm}. The mean height of a sample of 200 adult males is found to be 176 cm176\text{ cm}.

(i)

Calculate a 97.5%97.5\% confidence interval for the mean height of adult males.

3M
(ii)

State a necessary condition for the calculation in part (i) to be valid.

1M

The rest of this paper

6 more questions
  • Q2Hypothesis Tests4M
  • Q3Sampling and Estimation4M
  • Q4The Poisson Distribution · Linear Combinations of Random Variables8M
  • Q5Linear Combinations of Random Variables9M
  • Q6Continuous Random Variables9M
  • Q7Hypothesis Tests · Sampling and Estimation12M
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