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?

State the correct decision rule for α = 0.01.

Note: |Tstat| means the absolute value of the test statistic