OFFICIAL SUMMER 2025 PEARSON EDEXCEL Pearson Edexcel GCE In Statistics (9ST0) Paper 02: Statistical Inference MERGED QUESTION PAPER + MARK SCHEME

OFFICIAL SUMMER 2025 PEARSON EDEXCEL Pearson Edexcel GCE In Statistics (9ST0) Paper 02: Statistical Inference MERGED QUESTION PAPER + MARK SCHEME Answer ALL questions. Write your answers in the spaces provided. 1 Since 2006 the RAC, a roadside assistance organisation, have used the RAC Pothole Index to monitor the state of UK roads. The Index is a measure of how often, on average, an RAC member requests roadside assistance for a breakdown where damage from a pothole or other road surface defect was most likely the cause of the breakdown. An Index of 1.2 would mean the likelihood of pothole damage had increased by 20% compared to 2006 A reporter sees that the most recently reported figure was 2.0 and wishes to write an article about the likelihood of pothole damage, which she claims is now twice as great as in 2006 [Source: How to report a pothole and claim for damage online | RAC Drive] (a) Explain why the reporter is correct in her interpretation of the value of 2.0 For the years 2014 to 2021, the Pothole Index for each quarter was recorded, the summary statistics are shown below. (1) x = 70.05 (x − x)2 = 6.5596 n = 32 (b) Test to see whether, on average, this evidence would have supported the reporter’s claim between 2014 and 2021