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Hypothesis Testing with the Normal Distribution

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Question 8

The mass of sugar in a standard packet is modelled by a normal distribution with a mean of 1000 g and a standard deviation of 20 g.

a.

Using this model, find the probability that a randomly selected packet contains more than 1035 g of sugar.

[1]
b.

A quality control inspector suspects that the filling machine is overfilling and the mean mass is greater than 1000 g. A random sample of 25 packets is taken and the mean mass is found to be 1010 g. Test the inspector's suspicion at the 5% level of significance. State your hypotheses clearly.

[4]

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