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Hypothesis Testing with the Normal Distribution

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Question 35

The lengths of steel rods, XXX cm, have a normal distribution with unknown mean μ\muμ cm and known standard deviation σ\sigmaσ cm. A random sample of 64 rods yielded a 95% confidence interval for μ\muμ of (12.18,12.62)(12.18, 12.62)(12.18,12.62).

a.

Without carrying out any further calculations, use this confidence interval to test whether or not μ=12.7\mu = 12.7μ=12.7. State your hypotheses clearly and write down the significance level you have used.

[3]
b.

A second random sample, of 80 rods, had a mean length of 12.4512.4512.45 cm.

Calculate a 99% confidence interval for μ\muμ based on this second sample.

[5]

Hypothesis Testing with the Normal Distribution Questions

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

Practise Edexcel A Level Maths Hypothesis Testing with the Normal Distribution with exam-style questions for A Level Maths. 132 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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