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Chapter 13: Q.48 (page 766)

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 20commutes. The first worker鈥檚 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

Expert verified

From the given information, we observed thatn1=n2=20

Step by step solution

01

Given Information

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

We have to find what is n?

02

Step 2: Explanation

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

n1=n2=20

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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 20commutes. The first worker鈥檚 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. Is the claim accurate?
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