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A student read that 9 out of 10 pickup trucks sold in the last 12 years are still on the road. She concluded that the average life of a pickup is around 12 . Is she correct? Choose the correct answer below. A. She is incorrect. It could be that most 1 the pickups have been on the road for only 2 years, and therefore the given information would not substantiate that the average life of a pickup is around 12 years. B. She is incorrect. Half of the pickups sold in the last 12 years will still be working, and therefore the given information would not substantiate that the average life of a pickup is around 12 years. C. Yes. She is correct because half of the pickup trucks sold in the last 12 years are still on the road. D. Yes. She is correct because 9 out of 10 pickup trucks sold in the last 12 years are still on the road.

Ask by Joseph Riley. in the United States
Feb 03,2025

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Answer

She is incorrect. The statistic only shows that 9 out of 10 pickups are still on the road after 12 years, but it doesn't provide information about how long each truck has been in use. Therefore, it's not accurate to conclude that the average life of a pickup is around 12 years based solely on this information.

Solution

**A. She is incorrect. It could be that most of the pickups have been on the road for only 2 years, and therefore the given information would not substantiate that the average life of a pickup is around 12 years.** **Explanation:** The student's conclusion that the average life of a pickup is around 12 years based solely on the fact that 9 out of 10 pickup trucks sold in the last 12 years are still on the road is not necessarily accurate. This statistic indicates a high survival rate up to the 12-year mark but doesn't provide information about the distribution of how long the pickups have been in use. For instance, if most of the trucks were sold recently (e.g., within the last 2 years), the 9 out of 10 figure primarily reflects recent durability rather than the long-term average lifespan. Without knowing the exact distribution of sales over the 12-year period, the student cannot accurately determine the average lifespan of the pickup trucks. **Therefore, Option A is the correct choice.** **Answer:** **A. She is incorrect. It could be that most of the pickups have been on the road for only 2 years, and therefore the given information would not substantiate that the average life of a pickup is around 12 years.**

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The student is not correct in her conclusion. Just because 9 out of 10 pickup trucks sold in the last 12 years are still on the road, it doesn’t provide sufficient evidence for the average lifespan being around 12 years. It's entirely possible that many of these trucks are relatively new, skewing the average age lower. In fact, the lifespan of a vehicle can vary widely based on usage and maintenance. Many trucks may last well beyond 12 years, while others could be retired sooner due to heavy use or wear and tear. Thus, longevity statistics can be misleading if you're not looking at the full context.

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