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2.5.8 Hypothesis test for a single mean (A-level only)

2.5.8 Hypothesis test for a single mean (A-level only)

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Question 69

A manufacturer of high-precision capacitors specifies that the mean capacitance of a specific model is 14.50 μF14.50\, \mu \text{F}14.50μF. A quality control engineer believes that a recent manufacturing fault has resulted in a lower mean capacitance than specified. A random sample of 81 capacitors is tested, yielding a sample mean of 14.38 μF14.38\, \mu \text{F}14.38μF and a standard deviation of 0.45 μF0.45\, \mu \text{F}0.45μF. Test the engineer's belief at the 1% level of significance. State your hypotheses clearly.

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2.5.8 Hypothesis test for a single mean (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.5.8 Hypothesis test for a single mean (A-level only)

132 exam-style questions on OCR (MEI) A Level Maths 2.5.8 Hypothesis test for a single mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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