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3.7 Hypothesis Testing with the Normal Distribution

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Question 32

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

3.7 Hypothesis Testing with the Normal Distribution Questions

A Level
Maths
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.

3.7 Hypothesis Testing with the Normal Distribution

Question bank

3.7 Hypothesis Testing with the Normal Distribution

Medium Hard

Question 32

\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

3.7 Hypothesis Testing with the Normal Distribution Questions

A Level
Maths
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.