Question

Compute the z-score corresponding to the individual who obtained 36.3 miles per gallon. Interpret this result.

Answer 1

The z-score corresponding to the individual who obtained 36.3 miles per gallon is approximately 0.8833. This indicates that the individual's fuel efficiency is better than average.

Step-by-step explanation:

To compute the z-score corresponding to the individual who obtained 36.3 miles per gallon, we can use the formula:

z = (x - μ) / σ
where x is the individual value, μ is the population mean, and σ is the population standard deviation.

Plugging in the values, we have:

z = (36.3 - 31) / 6 = 0.8833

Interpreting this result, a z-score of 0.8833 indicates that the individual who obtained 36.3 miles per gallon is approximately 0.8833 standard deviations above the population mean. This means the individual's fuel efficiency is better than average.