Question 3a,b: Thank you for your support

Question 3 (3 + 3 + 3 = 9 marks) a) A worker earns $16 per hour at a plant and is told that only 5% of all workers make a higher wage. If the wage is assumed to be normally distributed and the standard deviation of wage rates is $5 per hour, find the average wage for the plant workers per hour. b) In a given year, the average annual salary of senior accountants was $205,000 with a standard deviation of $24,500. If a simple random sample of 50 senior accountants was taken, what is the probability that the sample mean will exceed $210,000