The mean (µ) level of absenteeism rate for the local school district is reported as 8.45 days per year, per student. The mean rate (X) for a sample of 30 students enrolled in a vocational training program is reported as 6.79 days per year with a standard deviation (s) of 2.56 days. Assume that you're working at the .05 level of significance.
a. State an appropriate null hypothesis.
b. What is the value of the calculated test statistic (t)?
c. Identify the critical value.
d. State your conclusion.