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1. A factory produces shopping bags for a large supermarket chain. The breaking load of a bag is the maximum load that it can carry

1. A factory produces shopping bags for a large supermarket chain. The breaking load of a bag is the maximum load that it can carry before it breaks. The supermarket chain places an order for 50 000 shopping bags but wishes to know the breaking load of the bags. (a) Suggest two reasons why a census would be unsuitable for this purpose. (2) The factory tests five shopping bags and the loads required for the bags to break are shown below: 17.89kg 15.24kg 9.72kg 12.31kg 13.89kg (b) The factory claims that the shopping bags can carry 12 kg of goods without breaking. Use the sample data to comment on this claim. (2) (c) Describe any limitations to the sample the factory has collected. (2) (d) Suggest one way the factory could improve the reliability of its prediction. (1) (Total 7 marks)

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