. The time to fly between New York City and Chicago is normally distributed with a mean of 180 minutes and a standard deviation of 17 minutes. What is the z-score that corresponds to a random variable X outcome of 190 minutes?
Z = (score-mean)/SD = (190-180)/17 = ?
To find the z-score corresponding to a particular outcome, we can use the formula:
z = (X - μ) / σ
where:
- X is the outcome we're interested in (in this case, 190 minutes)
- μ is the mean of the distribution (180 minutes)
- σ is the standard deviation of the distribution (17 minutes)
Plugging in the values, we get:
z = (190 - 180) / 17
z = 10 / 17
z ≈ 0.588
Therefore, the z-score that corresponds to an outcome of 190 minutes is approximately 0.588.