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Mathematics (AS & A Level) · Feb / March 2016 · Paper 72 · Question 3

9709

As printed in the paper

The question as text

In the past, Arvinder has found that the mean time for his journey to work is 35.2 minutes. He tries a different route to work, hoping that this will reduce his journey time. Arvinder decides to take a random sample of 25 journeys using the new route. If the sample mean is less than 34.7 minutes he will conclude that the new route is quicker. Assume that, for the new route, the journey time has a normal distribution with standard deviation 5.6 minutes.

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Show the answer and mark scheme
  • 3(i)[4]

  • 3(ii)[1]

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