The U.S. Product Safety Commission issues playground specifications and guidelines to help communities build safe playgrounds. One concern is the uncompressed depth of wood chips and other loose-fill...

The U.S. Product Safety Commission issues playground specifications and guidelines to help communities build safe playgrounds. One concern is the uncompressed depth of wood chips and other loose-fill material (used as shock absorbers). Independent random samples of playgrounds in various cities were obtained, and the uncompressed depth of wood chips (in inches) was measured for each playground. The data are given in the following table.

The New York City Marathon is one of the largest in the world, with over 50,000 finishers in 2013. The annual race takes runners through the five boroughs of New York City over 26.219 miles. A random sample of the top 100 finishers from five countries in 2013 was obtained, and the finish time for each was recorded (in minutes).23 Assume the underlying distributions of finish times are continuous.