A random sample of 2008 used cars for sale on the market has an average mileage of 71,420 miles with a sample standard deviation of 9,470 miles. The z-score for a used car with 80,500 miles in this sample is ----------- .

Question

Quizplus · Accepted Answer

The z-score is calculated using the formula $z = \frac{(X - \mu)}{\sigma}$, where $X$ is the value in question, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the values: $z = \frac{(80,500 - 71,420)}{9,470} \approx 0.96$.

A Random Sample of 2008 Used Cars for Sale on the Market