Two different brands of golf balls are being tested by ProGolf Associates to determine if
one travels farther than the other. Ten randomly selected Hyperdive balls are selected for
the test along with and another 10 randomly selected Score 60 balls. The balls in each
sample are struck with equal force by a robotic driver. The average distance for the
Hyperdrive balls in the sample is 252 yards, with a standard deviation of 4.9 yards. The
Score 60 balls in the sample have an average distance of 246 yards, with a standard
deviation of 5.4 yards.
Set up a hypothesis test to test a null hypothesis that there is no difference in the average
distance for the two brands of balls. Assume that the population distributions are normal
and that the population standard deviations are equal. Compute the value of the test
statistic, tstat, for the sample result.