Chapter 2, Problem 12P

A man runs 1 mile approximately once per weekend. He records his time over an 18-week period. The individual times and summary statistics are given in Table 2.14.

Table 2.14 One mile running time for an individual, over 18 weeks

Suppose we construct a new variable called time_100 = 100 × time (e.g., for week 1, time_100 = 1280).

Suppose the man does not run for 6 months over the winter due to snow on the ground. He resumes running once a week in the spring and records a running time = 12.97 minutes in his first week of running in the spring.

Is this an outlying value relative to the distribution of running times recorded the previous year in Table 2.14? Why or why not?

Hint: Construct a Box plot based on the data in Table 2.14, and assess whether this new point is an outlier based on Definition 2.11.