Hi, these are norma and samplingl distribution questions, could you guys help me out. Thanks

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 directors 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.

Q3.The average and standard deviation of the amount of Goods and Services tax remitted by performance artists in a twelve month period were $5.156 thousand and $1.733 thousand respectively. If a sample of 106 artists was chosen, find the sample average value above which only 15% of sample averages would lie. Give your answer in dollars (to the nearest dollar).

Q4.Which of the following is false?

A.The standard normal distribution has a mean of zero and a variance of one.

B.The standard normal distribution is useful because any normally distributed variable can be converted to the standard normal.

C.The standard normal distribution is useful because it has a smaller variance than other normal distributions.

D.The standard normal distribution hasprobability values already tabulated.