Market survey on the price of a product

Question 1 (25 marks) Conduct a market survey on the price of a product (e.g., mobile phone, running shoe, jean, potato chips, etc.) that you are interested in. You are required to collect at least 6 records as follows: No. Brand Model / Description Price (S$) Source / URL 1 2 3 4 5 6 (4 marks) Calculate a) the mean, the median and the mode. (5 marks) b) the standard deviation. (6 marks) c) the coefficient of variation. (3 marks) d) the quartiles and interquartile range (7 marks) Page 3 of 4 Question 2 (25 marks) a) The marketing manager wants to analyse the preference on action movie for his customers. The following table shows a summary: Preference Yes No Total Gender Male 80 20 100 Female 30 70 100 Total 110 90 200 Find the probability that a randomly selected customer who: i. likes action movie ii. is male and like action movie iii. is female or like action movie (12 marks) b) The salary of a sales manager is normally distributed with a mean of $3500 and standard deviation of $420. i. Find the probability that a randomly selected manager has a salary that is between $3,000 and $4,200? ii. If 20 managers are randomly selected, what is the probability that their average salary exceeds $3,750?