Question

Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for $20$commutes. The first worker’s times have a variance of $12.1$. These coworkers' times have a variance of $16.9$. The first worker thinks that he is more consistent with his commute times. Test the claim at the $10$% level. Assume that commute times are normally distributed. What is n?

Short answer

From the given information, we observed thatn_$1$=n_$2$=$20$

Step-by-step solution

Given Information

It is given in the question that, each records their times for $20$commutes. The first worker’s times have a variance of $12.1$. These coworkers' times have a variance of $16.9$.

We have to find what is n?

Step 2: Explanation

nis the sample size for the first and the second worker time commutes, and that is:

n_$1$=n_$2$=$20$