Use the following information for the question. The average travel time to work for a person living and working in Kokomo,Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel timeis approximately normally distributed.
-Suppose that it is reported in the news that 8% of the people living and working in Kokomo feel"very satisfied" with their commute time to work. What is the travel time to work that separates thebottom 8% of people with the shortest travel times and the upper 92%? Round to the nearest tenthof a minute.
A) 10.7 minutes
B) 17.2 minutes
C) 13.8 minutes
D) None of these

Question

Quizplus · Accepted Answer

To find the travel time that separates the bottom 8% from the upper 92%, we need to find the z-score that corresponds to the 8th percentile in a standard normal distribution, which is approximately -1.41. Using the formula: X = μ + Zσ, where μ = 17 and σ = 4.5, we calculate X = 17 + (-1.41)(4.5) ≈ 10.7 minutes.

Use the Following Information for the Question