1.Suppose the annual income of all British Columbian adults had an average of $35,000 and a standard deviation of $14,000. A random sample of 49 British Columbian adults was selected and they were asked about their annual income. Note that income has a right-skewed distribution.

a)Provide a description of the statistic of interest. [2 marks]

b)Identify the sampling distribution of the above statistic. [4 marks]

Note: Make sure you understand checking conditions is part of the procedure.

c)What is the probability that the average annual income (of the 49 randomly selected British Columbian adults) is bigger than $38,500? [2 marks]