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4.3.2 Statistical hypothesis testing (A-level only)

4.3.2 Statistical hypothesis testing (A-level only)

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Question 46

A civil engineer is testing the load-bearing capacity of a new alloy beam. The design specification requires a mean breaking load of 80.0 kN. The engineer suspects the mean breaking load has decreased and selects a random sample of 50 beams to test this claim. The breaking loads, in kN, are denoted by xxx and the following summary statistics were obtained:

∑x=3992.5,∑x2=318810.5 \sum x = 3992.5, \quad \sum x^2 = 318810.5 ∑x=3992.5,∑x2=318810.5

Stating your hypotheses clearly, test at the 1% level of significance whether there is evidence that the mean breaking load of the beams is less than 80.0 kN. You may assume that the breaking loads follow a normal distribution.

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4.3.2 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.3.2 Statistical hypothesis testing (A-level only)

130 exam-style questions on WJEC A Level Maths 4.3.2 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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