Suppose the Average Size (In Square Feet)of Homes in a Certain

Multiple Choice

Suppose the average size (in square feet) of homes in a certain region is 2,869. Assume the variable
Is normally distributed with standard deviation 100. If a person in the region was intending to build
A 3,099 square foot home but downsized and built a 2,794 square foot home, what was the change in
Percentile rank from the original plan to the actual home that was built?

A) The change in percentile rank is 98.
B) The change in percentile rank is 76.
C) The change in percentile rank is 22.
D) The change in percentile rank is 55.