uestion 6 For uestion write down the answers on] no ex Ianation is needed. (a) (b) In a bookstore, the spending of a customer for a comic book is known to follow a normal distribution with population mean of $120 and population standard deviation of $25. Suppose each customer will get a 5% off discount today. Find the median spending for a comic book in the bookstore after the discount. (2 marks) In a company with 900 employees, 400 of them have more than 5 years working experience. Among all employees, 200 of them are university graduates. For those who have more than 5 years working experience, 150 of them are university graduates. One employee is randomly selected from the company, and he says that he has less than 5 years working experience. What is the probability that he is a university graduate? (2 marks) For parts (c) to (e): FAST bus company is planning to raise their fares. The management team wants to know the current spending patterns of their customers. Choose the appropriate hypothesis test from the below list for parts (c) to (e). (C) (d) (C) I: Onetailed ztest for a mean 11: One-tailed t-test for a mean 111: TWO-tailed z-test for a mean IV: Two-tailed t-test for a mean V: One-tailed z-test for a proportion VI: Two-tailed z-test for a proportion VII: ANOVA test VIII: Chi-square test Test, at 5% signicance level, if the population mean monthly travelling expenditures of their customers living in 4 different regions are all the same. (2 marks) Test, at 1% signicance leVel, if the population mean monthly thelling expenditure of their customers is higher than $1,000. (Assume the population standard deviation is known) (2 marks) Test, at 1% signicance level, if the population proportion of customers who spend more than $5000 in travelling in a month is different from 0.1. (2 marks) (Total: 10 marks)