Quelpr
1 markChi-Square Test

CAPE Applied Mathematics Unit 2 · 2017 · Paper 2 · Question 4(d)(i)

Preferences of 250 persons for five flavours of tea.

Complete the table by giving the expected number of persons preferring each brand, assuming that each brand is equally likely to be preferred.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 4(a)Determine, to 3 significant figures, the probability that a piece of metal 15\text{ m}^2 will contain at most three blisters.[4 marks]
  2. 4(b)Justifying the use of a suitable approximation, calculate the probability that at least 2 customers intend to pay their arrears.[5 marks]
  3. 4(c)(i)State clearly the distribution which can be used to approximate the Poisson distribution.[1 mark]
  4. 4(c)(ii)Calculate the probability that in one hour less than 32 calls are received.[4 marks]
  5. 4(c)(iii)Calculate the probability that in one hour between 31 and 39 calls are received.[4 marks]
  6. 4(d)(ii)Perform a \chi^2 goodness-of-fit test at the 1% significance level to determine whether a uniform distribution fits the tea-drinking preference of the 250…[6 marks]

More practice: the rest of this paper · more Chi-Square Test questions · all CAPE Applied Mathematics Unit 2 past papers