Pearson Edexcel Level 3 GCE Statistics Advanced PAPER 2: Statistical Inference 9ST0/02

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Pearson Edexcel Level 3 GCE Statistics Advanced PAPER 2: Statistical Inference 9ST0/02Answer ALL questions. Write your answers in the spaces provided. 1 The breaking strength of cables has usually be... en assessed by testing samples of cables until they break (testing to destruction). A manufacturer of carbon-fibre-reinforced polymer (CFRP) cables wants to replace testing to destruction with a method for predicting breaking strength based on known characteristics of a cable. The methods to be compared are a computer simulation model and a mathematical model. The investigation involves selecting a sample of 18 CFRP cables. Nine of them have their breaking strengths predicted by a computer simulation model and nine by a mathematical model. Each cable is then tested to destruction to determine its actual breaking strength. The following are the percentage errors made in the predictions for each model. A negative error means that the prediction is too low. Previous research suggests that percentage errors such as these have skew distributions. Computer model Mathematical model –7.5 4.4 –3.2 8.3 –3.3 8.2 –5 6.9 –1.5 10.1 –0.6 10.9 0.7 12.2 4.8 15.9 5.2 15.9 [Data source: https://doi.org/10.1590/1679-78254177] *P69433A0320* Turn over 3 Question 1 continued (a) Perform a non-parametric test to decide whether there is evidence of a difference in the average prediction error of these models. (9) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________ [Show More]

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