A veterinarian collects data on the number of times race horses are raced during their career. The researcher finds the average number of races a horse enters is ¯x = 15.3 with a standard deviation of s = 6.8 in a sample of n = 20 horses.
(a) A 95% confidence for µ, the average number of times a horses races is what?
(b) A rival researcher claims that the true population mean, µ, is 22. Preform a hypothesis test to test this claim.