A company is develoing a new golf ball. The overall distance is approximately normally distributed and has a standard deviation of 20 yards. Using a sample of n=10, the company would like to determine whether the mean distance of the new golf ball is greater than 175 yards.
(a) state the appropiate null and altnerative hypothesis
(b) find the type 1 error probabily a(alpha) if the criical region is x(bar) >185
(c) determine whether the mean distance of the new golf ball is greater than 175 yards. a(alpha)=.05
(d) BONUS: what is the probabily of type 2 error if the true mean distance is 185 yards?