An advertisement for the Audi TT model lists the following performance specifications: standing start, 0-50 miles per hour in an average of 5.28 seconds; braking, 60 miles per hour to 0 in 3.10 seconds on the average. An independent testing service hired by a competing manufacturer of high-performance automobiles wants to prove that Audi's claims are exaggerated.
A random sample of 100 trial runs gives the following results: standing start, 0-50 miles per hour in an average of x‾ = 5.8 seconds and s = 1.9 seconds; braking, 60 miles per hour to 0 in an average of x‾ = 3.21 seconds and s = 0.6 second.
Carry out the two hypothesis tests, state the p-value of each test, and state your conclusions.