Question

The null and alternative hypothesis are given. Determine whether the hypothesis test is left tailed, right tailed, or two tailed. What parameter is being tested?

Answer 1

This is a right-tailed hypothesis test for the population standard deviation.

Determine the type of the hypothesis test and the parameter being tested

from the question, we have the following parameters that can be used in our computation:

The hypothesis

• The null hypothesis states that the population standard deviation (SD) equals 9.
• The alternative hypothesis (Ha) states that the population standard deviation (SD) is greater than 9.

Since the alternative hypothesis only considers values greater than the null hypothesis value, we have a right-tailed test.

We are testing the population standard deviation (SD), not the population mean or any other parameter.

Hence, this is a right-tailed hypothesis test for the population standard deviation.