A machine is designed to fill bags of sugar with a target mean weight of 500 g. The weight of sugar in a bag is normally distributed. A quality control manager suspects the machine is underfilling the bags. The weights, xxx g, of 10 randomly selected bags are recorded, and the following statistics are calculated:
xˉ=492.5s=9.24 \bar{x} = 492.5 \quad s = 9.24 xˉ=492.5s=9.24Stating your hypotheses clearly, test at the 5% significance level whether or not the manager's suspicion is supported.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
