Question

Test of a Single Variance

Use the following information to answer the next three exercises: An archer's standard deviation for his hits is six (data is measured in distance from the center of the target). An observer claims the standard deviation is less.

What type of test should be used?

Short answer

We use a test of single variance

Step-by-step solution

Given Information

Archer's standard deviation of hits is 6

Observer's claim is standard deviation is less than 6

Explanation

In this exam, Archer's standard deviation is six, whereas the observer's is less than six. In a single variance test, the distribution is considered to be regular. Both of the null and alternative hypotheses are defined in terms of population variance. The sampling distribution could be a variable, with the archer's hits as the sample. The type of test used here is a single variance test.