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2. (5 marks) A food company has received the criticism that the sugar content of its children's cereals is signicantly higher than the sugar content

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2. (5 marks) A food company has received the criticism that the sugar content of its children's cereals is signicantly higher than the sugar content of its adults\" cereals. A random selection of both children's and adults' cereals produced by this company yielded the following data on sugar content: Children's cereal n; = 29 i 21 = 16.8 31 = 6.42 Adults' cereal 11.2 = 28 i 22 = 102 32 = 761 It is reasonable to believe sugar content is normally distributed. Use the Welch Approximate t Procedure (with df = 52.810) to test the criticism at the 5% level of signicance. Show all your steps for full marks. The following commands from Excel may or may not be useful: norm.s.dist(3.5331, TRUE)=O.9998 t.dist(3.5331, 52.810, TRUE)=0.9996 t.dist.rt(3.5331, 52.810, TRUE)=0.0004 t.dist.2t(3.5331, 52.810, TRUE)=0.0008

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