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 2101. Assume the variable is normally distributed with standard deviation 120. If a person in the region was intending to build a 2227 square foot home but downsized and built a 1873 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 71.
B) The change in percentile rank is 94.
C) The change in percentile rank is 82.
D) The change in percentile rank is 12.