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Hypothesis Testing with the Normal Distribution

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Question 19

The time taken for a computer script to complete a specific task is normally distributed with a mean of 40 seconds and a standard deviation of 6 seconds.

a.

Find the probability of the script taking longer than 50 seconds.

[2]
b.

A developer suspects that a recent update has changed the mean completion time.

Write down a null and alternative hypothesis for a two-tailed test.

[1]
c.

A random sample of 9 scripts is run, resulting in a mean completion time of 45 seconds.

Test at the 1% significance level whether there is evidence that the mean completion time has changed.

[3]

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.

Question bank