Question

The average waiting time in a doctor’s office varies. The standard deviation of waiting times in a doctor’s office is $3.4$ minutes. A random sample of $30$ patients in the doctor’s office has a standard deviation of waiting times of $4.1$ minutes. One doctor believes the variance of waiting times is greater than originally thought.

What type of test should be used?

Short answer

A test of single variance should be used.

Step-by-step solution

Given Information

The average waiting time in a doctor’s office varies. The standard deviation of waiting times in a doctor’s office is $3.4$ minutes. A random sample of $30$ patients in the doctor’s office has a standard deviation of waiting times of $4.1$ minutes .

Explanation

We have to find what type of test should be used:

The average waiting time in a doctor’s office varies.

The standard deviation of waiting times in a doctor’s office is $3.4$minutes.

A random sample of $30$patients in the doctor’s office has a standard deviation of waiting times of $4.1$minutes.

We have learned that, the chi-square examination for single variance can be used where population variance is similar to some selected values.

Therefore, a test of single variance should be applied here.