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4.6 Statistical hypothesis testing (A-level only)

4.6 Statistical hypothesis testing (A-level only)

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Question 49

The lifespan of a certain brand of light bulb is normally distributed with a mean of 1200 hours and a standard deviation of 80 hours.

a.

Find the probability that a randomly selected light bulb lasts for less than 1050 hours.

[2]
b.

An engineer claims that the manufacturing process has changed, causing the mean lifespan to decrease.

State the engineer's null and alternative hypotheses.

[1]
c.

A sample of 30 light bulbs is tested and the mean lifespan is found to be 1175 hours.

Carry out a test at the 10% significance level to determine if there is evidence that the mean lifespan is less than 1200 hours.

[3]
Markscheme

4.6 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.6 Statistical hypothesis testing (A-level only)

209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 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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