The average age of vehicles registered in the United States is 96 months. Assume the population is normally distributed with a standard deviation of 15 months. Find the
Probability that the mean age of a sample of 36 vehicles is between 98 and 100 months?

Question

Quizplus · Accepted Answer

The probability that the mean age of a sample of 36 vehicles is between 98 and 100 months is 15.7%. This is because the mean age of a sample of 36 vehicles is normally distributed with a mean of 96 months and a standard deviation of 15 months. The probability that the mean age of a sample of 36 vehicles is between 98 and 100 months is the area under the normal distribution curve between 98 and 100 months. This area is 15.7%.

The Average Age of Vehicles Registered in the United States