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2.5.3 Hypothesis test for a Normal mean (A-level only)

2.5.3 Hypothesis test for a Normal mean (A-level only)

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Question 40

The weights of a random sample of 12 luxury chocolates are measured. The mean weight of the sample is recorded as 42.5 g42.5\text{ g}42.5 g. The weights of the chocolates are known to be normally distributed.

Given that the population standard deviation is 0.8 g0.8\text{ g}0.8 g,

a.

estimate the limits between which 95%95\%95% of the weights of individual chocolates lie.

[3]
b.

find a 99%99\%99% confidence interval for the mean weight of the chocolates.

[3]
c.

A quality control manager claims that the mean weight of these chocolates is 41.8 g41.8\text{ g}41.8 g.

Comment on the manager's claim. Give a reason for your answer.

[2]
Markscheme

2.5.3 Hypothesis test for a Normal mean (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.5.3 Hypothesis test for a Normal mean (A-level only)

130 exam-style questions on AQA A Level Maths 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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