The average cost for tuition, fees, room and board for 4 year institutions of higher learning was $26,489 for a recent academic year. Suppose that we also know that standard deviation = $2814. As part of a research study, 36 schools are sampled for a survey?
a. State the sampling distribution of x ( I know how to do it)
b. What is the probably that the sample mean cost of these 36 schools is greater than $26,000? (I know how to do it)
c. How much would cost of your education have to be for it to be considered in the top 10% most expensive schools?