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A university has 15,000 students. We have drawn a simple random sample size of 400 from...

A university has 15,000 students. We have drawn a simple random sample size of 400 from the population and recorded how much money each student spent on cellular telephone service during November 2003. For this sample, the sample mean is $36, and sample standard deviation is $20. At a 99% level of confidence, test the null hypothesis that these 15,000 students, combined, did not spend more than $500,000 on cellular telephone service during November 2003.

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