According to the U.S. Environmental Protection Agency, a sample of 10 subcompact models shows the following estimated values for highway fuel economy (mpg): 40, 33, 32, 30, 27, 29, 27, 23, 21, and 10. The [x = 272 and the Ex2 = 7982. Based on this sample, at least 89% of all subcompact model values for highway fuel economy (mpg) would fall within (11.094, 43.306). (19.147, 35.253). O (3.041, 51.359). (37.644 92044)

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### Highway Fuel Economy Analysis of Subcompact Models

According to the U.S. Environmental Protection Agency, a sample of 10 subcompact models shows the following estimated values for highway fuel economy (mpg):

- 40, 33, 32, 30, 27, 29, 27, 23, 21, and 10.

With this data set:

- The sum of all values (Σx) is 272.
- The sum of the squared values (Σx²) is 7982.

Based on this sample, it is required to determine the interval within which at least 89% of all subcompact model values for highway fuel economy (mpg) would fall.

The options given are:

- (11.094, 43.306)
- (19.147, 35.253)
- (3.041, 51.359)
- (37.644, 92.044)
- (-5.012, 59.412)

Please select the most appropriate interval based on the calculations and analysis derived from the sample data.

---
**Notes:**

1. The data points are provided in mpg (miles per gallon).
2. The goal is to understand the range within which a significant majority (at least 89%) of the data points fall, which likely involves statistical concepts such as mean and standard deviation.

If there are any specific questions about the data or further explanations are required, please feel free to ask.
Transcribed Image Text:### Highway Fuel Economy Analysis of Subcompact Models According to the U.S. Environmental Protection Agency, a sample of 10 subcompact models shows the following estimated values for highway fuel economy (mpg): - 40, 33, 32, 30, 27, 29, 27, 23, 21, and 10. With this data set: - The sum of all values (Σx) is 272. - The sum of the squared values (Σx²) is 7982. Based on this sample, it is required to determine the interval within which at least 89% of all subcompact model values for highway fuel economy (mpg) would fall. The options given are: - (11.094, 43.306) - (19.147, 35.253) - (3.041, 51.359) - (37.644, 92.044) - (-5.012, 59.412) Please select the most appropriate interval based on the calculations and analysis derived from the sample data. --- **Notes:** 1. The data points are provided in mpg (miles per gallon). 2. The goal is to understand the range within which a significant majority (at least 89%) of the data points fall, which likely involves statistical concepts such as mean and standard deviation. If there are any specific questions about the data or further explanations are required, please feel free to ask.
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