A university is concerned that it is taking students too long to complete their requirements and graduate; the average time for all students is 4.7 years. The dean of the campus honors program claims...

A university is concerned that it is taking students too long to complete their requirements and graduate; the average time for all students is 4.7 years. The dean of the campus honors program claims that students who participated in that program in their first year have had a lower mean time to graduation. Unfortunately, there is no automatic way to pull the records of all of the thousands of students who have participated in the program; they must be pulled individually and checked. A random sample of 30 students who had participated is taken, and the mean and standard deviation for the time to completion for those students are 4.5 years and 0.5 year, respectively. Carry out the five steps to test the hypotheses of interest in this situation. Use a = .05.