Q1. An on-line retailing firm conducts a study into the number of on-line purchases of footwear made during all of last year. The study wants to determine the proportion of Australians over the age of 25 who purchase footwear on-line. The managing director of the on-line retailing firm believes this proportion of Australians is 15%. A random sample of 156 Australians over the age of 25 is selected. If the managing director's claim is true, what is the sample proportion value below which 10% of all sample proportions would exist? Express your answer correct to two decimal places
Q2. Duracell ltd claim that the life of their batteries in motorised soft toys is approximately normally distributed with a mean of 101.7 hours and a standard deviation of 15.2 hours. The worst 12% of batteries would not last beyond how many hours? Answer correct to 2 decimal places.