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The Normal Distribution

The Normal Distribution

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Question 67

A food processing plant packs cereal into boxes with a targeted mean mass of 500 g.

A consumer protection agency claims that the boxes are being underfilled on average.

To investigate, they weigh a sample of boxes and find the following:

n=250∑x=124625∑x2=62145000 n = 250 \quad \sum x = 124625 \quad \sum x^2 = 62145000 n=250∑x=124625∑x2=62145000
a.

Find the mean and standard deviation of the sample.

[3]
b.

Carry out a hypothesis test to test the agency's claim at the 1% significance level. State your assumptions clearly.

[5]
Markscheme

The Normal Distribution Questions

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

616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

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