Question

A golf analyst claims that the standard deviation of the​ 18-hole scores for a golfer is stokes. State and in words and in symbols. Then determine whether the hypothesis test for this claim is​ left-tailed, right-tailed, or​ two-tailed. Explain your reasoning.

Answer 1

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.