Example of a One-Tail Hypothesis Test
Because I formulated the alternative hypothesis for the golf ball example as > 20, this becomes a one-tail test. The hypothesis for this example is stated as:
H0 : µ ≤ 20 yards
H1 : µ > 20 yards
Where m = the mean increase in yards off the tee using my new golf ball.
Let’s say that I know that the standard deviation of the population, σ, is 5.3 yards and my sample size to test the hypothesis, n,
is 40 golfers. For this example, we’ll set α = 0.01. The standard error of the mean, σ x
, will now be equal to:
Let’s assume the sample mean from the 40 golfers is 22.5 yards. What is our conclusion ...