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4.5 Statistical distributions (A-level only)

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Question 39

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]

4.5 Statistical distributions (A-level only) Questions

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