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9709/73

Mathematics 9709/73 — October/November 2014

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

6
questions
50
marks
75
minutes

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

Q1Hypothesis TestsFree sample

A researcher wishes to investigate whether the mean height of a certain type of plant in one region is different from the mean height of this type of plant everywhere else. He takes a large random sample of plants from the region and finds the sample mean. He calculates the value of the test statistic, zz, and finds that z=1.91z = 1.91.

(i)

Explain briefly why the researcher should use a two-tail test.

1M
(ii)

Carry out the test at the 4% significance level.

3M

The rest of this paper

5 more questions
  • Q2Continuous Random Variables8M
  • Q3Sampling and Estimation8M
  • Q4Linear Combinations of Random Variables10M
  • Q5Hypothesis Tests10M
  • Q6The Poisson Distribution10M
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