Reports indicate that graduating seniors in a local high school have an average ( m ) reading comprehension score of 72.55 with a standard deviation (s ) of 12.62. As an instructor in a GED program that provides alternative educational opportunities for students, you're curious how se- niors in your program compare. Selecting a sample of 25 students from your program and administering the same reading comprehension test, you discover a sample mean (X) of 79.53. Assume that you're working at the .05 level of signi?cance.
a. State an appropriate null hypothesis.
b. What is the value of the calculated test statistic (Z )?
c. State your conclusion.