Answer:
Left tailed.
Explanation:
A claim (alternative hypothesis) is set against the null hypothesis.
The claim (alternative hypothesis) of the golf analyst is that the standard deviation of the 18-hole scores for a golfer is less than 2.1 strokes
Ha: Sd< 2.1
The null hypothesis will be opposite of the alternate hypothesis
H0: sd ≥ 2.1
A test for which the entire rejection region is located in only one of the two tails - either left or right- is called one tailed test.
In the given example the acceptance region is located in the area greater or equal to 2.1 . The rejection region lies to the left and the acceptance region lies to the right.
As the rejection region lies to the left, it is a left tailed test.
Also if the alternative hypothesis contains equality less than it is left tailed.