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3 marksChi-Square Test

CAPE Applied Mathematics Unit 2 · 2015 · Paper 2 · Question 4(b)(i)

A random variable X is assumed to have a normal distribution with mean 9 and standard deviation 1. A table displays observed and expected frequencies over given ranges.

Determine the value of m and n shown in the table.

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Other parts of this question

  1. 4(a)(i)Show that a = 2.2 and determine the value of b.[10 marks]
  2. 4(a)(ii)Determine P(X > 0.5).[3 marks]
  3. 4(b)(ii)Carry out a χ² goodness-of-fit test at the 5% significance level to determine whether the data may be modelled by a normal distribution with mean 9 and…[9 marks]

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