Mathematics 9709/72 — May/June 2012

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

questions

marks

minutes

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

Q1Hypothesis TestsFree sample

The number of new enquiries per day at an office has a Poisson distribution. In the past the mean has been 3. Following a change of staff, the manager wishes to test, at the 5% significance level, whether the mean has increased.

(i)

State the null and alternative hypotheses for this test.

(ii)

The manager notes the number, $N$ , of new enquiries during a certain 6-day period. She finds that $N = 25$ and then, assuming that the null hypothesis is true, she calculates that $P(N \ge 25) = 0.0683$ .

What conclusion should she draw?

The rest of this paper

6 more questions

Q2Sampling and Estimation4M
Q3Sampling and Estimation5M
Q4The Poisson Distribution · Linear Combinations of Random Variables8M
Q5Linear Combinations of Random Variables8M
Q6Continuous Random Variables8M
Q7Hypothesis Tests · Sampling and Estimation14M

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