In 2005-06 the average cost of tuition and fees at private four-year colleges was reported at just over $21,000 per year (www.collegeboard.com, October 18th, 2005). More specifically, the population average cost of tuition and fees for private four-year colleges is $21,235 and the standard deviation is $33,952. Assume that a random sample of 35 private four-year colleges will be selected. (a) What is the mean of the sampling distribution of the sample means?