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 normally distributed with a mean of 32 hours and a standard deviation of 2 hours.What percent of the garages take between 30 and 34 hours to erect?
A)16.29%
B)76.71%
C)3.14%
D)34.13%

Question

Quizplus · Accepted Answer

The time range from 30 to 34 hours is within one standard deviation (2 hours) from the mean (32 hours) in a normal distribution. Approximately 68% of data falls within one standard deviation of the mean, so half of this range (34.13%) falls between the mean and one standard deviation above or below.

A National Manufacturer of Unattached Garages Discovered That the Distribution