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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 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]
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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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