The average income in a certain region in 2013 was $67,000 per person per year. Suppose the standard deviation is $28,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the region. a. Is the sample size large enough to use the Central Limit Theorem for means? Explain.
b. What are the mean and standard error of the sampling distribution?
c. What is the probability that the sample mean will be more than $2,800 away from the population mean?