The president of a university believes the entering class this year has an average ACT score different than previous years. The average ACT score previously had been 23. He took a sample of 100...

The president of a university believes the entering class this year has an average ACT score different than previous years.  The average ACT score previously had been 23.  He took a sample of 100 students from this year’s entering class and found their sample mean ACT score is 24 with a sample standard deviation of 6.  Is there evidence the population mean ACT score is different from 23 at the 0.01 significance level?

What is your statistical conclusion if you conduct the appropriate test at a 0.01 significance level?