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8 marksChi-Square Test

CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 4(b)(ii)

A barber shop records haircuts per day over 6 days (Mon–Sat) leading up to Christmas.

Carry out a goodness-of-fit analysis to test the hypothesis that the number of haircuts is the same for each day, using a 10% level of significance. Show full details of your method, and state your conclusion clearly.

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Other parts of this question

  1. 4(a)(i)Write a distribution, V, for the total mass of the 10 biscuits.[4 marks]
  2. 4(a)(ii)Write a distribution, T, for the total mass of the package of biscuits.[3 marks]
  3. 4(a)(iii)Calculate the probability that the total mass of the package of biscuits is less than 510 g.[8 marks]
  4. 4(b)(i)Complete the table to show the expected frequency for each day, assuming that haircuts are the same on each day.[2 marks]

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