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Mathematics (AS & A Level) · May / June 2025 · Paper 63 · Question 2

9709

As printed in the paper

The question as text

The lengths of pencils made at a factory are normally distributed. The standard deviation of the lengths is cm v , and the mean is supposed to be 10 cm. An inspector thinks that the mean is actually greater than 10 cm. He takes a random sample of 50 pencils produced at the factory and finds that the mean of these 50 lengths is 10.03 cm. He then carries out a hypothesis test.

Read automatically from the paper; the printed page above is exact.

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

  • 2(a)(ii)[3]

  • 2(b)[1]

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