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Problem

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18 Nov 2021

Given information

 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  commutes. The first worker’s times have a variance of . The second worker’s times have a variance of . The first worker thinks that he is more consistent with his commute times and that his commute time is shorter.

Level of significance is .

Step-by-step explanation

Step 1.

statistic is the ratio of the two variances.

The formula to calculate statistic is:

 

Where, is the variance of the first sample and is the variance of the second sample.

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