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The journey-to-work (JTW) times (in minutes) by 10 commuters in Prince George’s County were obtained. The...

The journey-to-work (JTW) times (in minutes) by 10 commuters in Prince George’s County were obtained. The observations are: 19.5, 24.5, 32.1, 24.6, 23.0, 10.4, 23.8, 22.7, 63.1, 8.4. The JTW of all commuters in the Prince George’s County follow a normal distribution. Based on the 12 commuters, can you test whether the average JTW time in the Prince George’s County is 25 minutes? Do this question by hand.

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Answer #1

Let denotes the average JTW time in the Prince George’s County.

Conclusion - There is insufficient evidence to conclude that the average JTW time in the Prince George’s County is significantly different from 25 minutes.

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