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

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Question 31

A machine is designed to fill bags of sugar with a target mean weight of 500 g. The weight of sugar in a bag is normally distributed. A quality control manager suspects the machine is underfilling the bags. The weights, $x$ g, of 10 randomly selected bags are recorded, and the following statistics are calculated:

\bar{x} = 492.5 \quad s = 9.24

Stating your hypotheses clearly, test at the 5% significance level whether or not the manager's suspicion is supported.

[7]

Markscheme

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

A Level
Maths
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.

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

Question bank

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

Medium Hard

Question 31

\bar{x} = 492.5 \quad s = 9.24

Stating your hypotheses clearly, test at the 5% significance level whether or not the manager's suspicion is supported.

[7]

Markscheme

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

A Level
Maths
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.