USE this rule
Crit > Calc = Cannot Reject = No Statistical difference in the means
Crit < Calc = Reject = Statistical difference in the means
Question 1: Historically, my HRV fleet averaged 40,000 miles between breakdowns with a 8000 mile standard deviation. I implemented Continuous Improvement teams to research better inspection methods and after the kaizen, I sampled, randomly 30 HRV cars and found 43,000 miles between service interruptions.
Test at the 0.05 Alpha I tail Z test and determine if the efforts paid off statistically