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3.7 Hypothesis Testing with the Normal Distribution

3.7 Hypothesis Testing with the Normal Distribution

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Question 56

A factory produces metal rods with a target mean length of 12 cm. A quality control manager suspects the mean length has decreased and selects a random sample of 8 rods to test this claim. The lengths, in cm, are denoted by xxx and the following summary statistics were obtained:

∑x=94.4,∑x2=1114.2 \sum x = 94.4, \quad \sum x^2 = 1114.2 ∑x=94.4,∑x2=1114.2

Stating your hypotheses clearly, test at the 5% level of significance whether there is evidence that the mean length of the rods is less than 12 cm. You may assume that the lengths of the rods follow a normal distribution.

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3.7 Hypothesis Testing with the Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /3.7 Hypothesis Testing with the Normal Distribution

132 exam-style questions on Edexcel A Level Maths 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

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