A national manufacturer of unattached garages discovered that the distribution of the lengths of time it takes two construction workers to erect the Red Barn model is approximately normally distributed with a mean of 32 hours and a standard deviation of 2 hours. What percent of the garages take between 32 and 34 hours to erect?
A) 16.29%
B) 76.71%
C) 3.14%
D) 34.13%

Question

Quizplus · Accepted Answer

To find the percentage of garages that take between 32 and 34 hours to erect, we use the properties of the normal distribution. The Z-score for 34 hours is calculated as (34 - 32) / 2 = 1. The percentage of values between the mean and a Z-score of 1 in a normal distribution is approximately 34.13%.

A National Manufacturer of Unattached Garages Discovered That the Distribution