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Q.46

Expert-verified
Found in: Page 766

### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

# 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 s$1$ in this problem?

In this problem s$1$ = $3.4785$

See the step by step solution

## Step 1: Given Information

In the problem, it is given that 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 $16.9$. Test the claim at the $10$% level.

## Step 2: Explanation

${s}_{1}^{2}\text{in this problem is the first worker's times variance.}$

so, we have

${s}_{1}^{2}=12.1$

${s}_{1}=\sqrt{12.1}=3.4785$