The weight, Xg, of a large bag of crisps is said to be normally distributed with a

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The weight, Xg, of a large bag of crisps is said to be normally distributed with a mean of 175g. A sample of eight bags is opened and the contents weighed. The results are listed below.

173.2, 171.5, 176.3, 175.1, 174.7, 174.2, 176, 174.5


A consumer group believes that the bags are underfilled.

a. Test this claim at the 5% significance level.

b. Suggest why only a small sample of packets was tested.

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