St. Andrew’s University receives 900 applications annually fromprospective students. The application forms contain a variety ofinformation including the individual’s scholastic aptitude test(SAT) score and whether or not the individual desires on-campus
housing.
What is the probability that a simple random sample of 30applicants will provide an estimate of the population mean SATscore that is within plus or minus 10 (within 10 points) of theactual population mean m ? Given that the populationStandard Deviation is 80.
Data show 648 applicants wanting On-Campus Housing. What is theprobability that sample proportion exceeds 50%, when n =30?
What is the probability that a simple random sample of 30applicants will provide an estimate of the population proportion ofapplicants desiring on-campus housing that is within plus or minus.05 of the actual population proportion?
If the University can provide to no more than 45% for the on–campus housing facilities, what would be the estimated number ofaccepted applicants desiring on-campus housing?
