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The Normal Distribution

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Question 1
29%

The weight of beans in a tin produced by company A normally distributed with a mean of 415 g and a standard deviation of 3.4 g.

a.

Find the probability that a randomly selected tin of beans has a weight of less than 409 g.

[2]
b.

Company A suspects that the mean weight of tins from a machine is lower than it should be.

Write down the company's null and alternative hypothesis.

[1]
c.

A sample of 20 tins is taken and the mean weight is found to be 413 g.

Carry out a test at the 1% significance level to see if there is evidence that the machine is producing tins with a mean of less than 415 g.

[3]

The Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /The Normal Distribution

Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 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.

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