High School

In what interval would you expect the central 95% of autos to be found?

Using the 68-95-99.7 Rule, the central 95% of autos can be expected to be found in the interval from ___ to ___ mpg.

Answer :

Final answer:

The central 95% of autos can be expected to be found within two standard deviations of the mean fuel economy.

Explanation:

The central 95% of autos can be found within two standard deviations of the mean. Given a normal distribution, the central 95% corresponds to the area between -2 and +2 standard deviations from the mean.

To calculate the interval:

  1. Find the mean fuel economy: 34.6 mpg
  2. Calculate two standard deviations: 2 * standard deviation = 2 * 10.3 = 20.6
  3. The interval would be from 34.6 - 20.6 to 34.6 + 20.6, resulting in a range from 14 to 55.2 mpg

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