Weekly visits to a top tourist attraction in Mustwilhamshire have a mean of 6545 and a standard deviation of 730.

(i) Find the probability that visits in the next week exceed 6750. (8 marks) (ii) Find the probability that visits in the next week are between 6600 and 6900. (16 marks) (iii) Find the probability that visits in the next week are less than 7050. (8 marks) If you need to round your answer, please give at least 3 decimal places. The data were collected over 16 weeks. With the addition of this information, answer the following. (iv) What is the lower limit for a 90% confidence interval for weekly visits? (3 marks) (v) What is the upper limit for a 90% confidence interval for weekly visits? (3 marks) If you need to round your answer, please do so to at least the nearest whole number. Dataset The data below relate to the sales of car parts and the amount spent on marketing by a company. Sales Amount spent on marketing 329999 27916 311304 26046 392609 31521 369226 27322 300678 25453