A2 a) To create a better Covid risk assessment for its 3500 employees, Anglesey County council needed to estimate their mean age, simple random sample of 35 records are selected. a. Do you need to use the finite correction factor? Explain your answer b. If the population or is 8.5 years? Compute the standard error with and without the population finite factor. Comment on your findings. c. What proportion of the sample has a mean age within plus i two years of the population mean? 10 marks b] Which the UK consumer organisation conducted a survey to calculate the average cost of diesel fuel. They found the average cost per litre was 1255 with a standard deviation of 0.14. What sample size would be required for a follow up survey that had each of the following margin of error at a 95% confidence interval. a. 10 p b. 5p c. 2p Explain your ndings in terms of sample size and margin of error 10 marks