A university has 15,000 students. We have drawn a simple randomsample size of 400 from the population and recorded how much moneyeach student spent on cellular telephone service during November2003. For this sample, the sample mean is $36, and sample standarddeviation is $20. At a 99% level of confidence, test the nullhypothesis that these 15,000 students, combined, did not spend morethan $500,000 on cellular telephone service during November2003.