To help visitors decide which trails are most appropriate for them to hike, the National Park Service (NPS) rates the difficulty of the trails in the nation’s parks. Abrams Falls Trail is a 5-mile trek through Great Smoky Mountains National Park. Suppose the NPS has decided to give Abrams Falls Trail a “moderate” rating if the standard deviation for the time to hike the trail is longer than 30 minutes. The following data represent the hours it took 20 randomly selected people to hike the trail. These data can be found in the Excel file NPS.xlsx.

1.4 3.2 2.7 3.4 3.0 3.3 3.5 2.9 2.4 3.9 2.9 3.5 3.2 4.1 4.1 3.4 3.7 3.5 4.0 1.7

a. Using a = 0.05, determine if the NPS should give the Abrams Falls Trail a “moderate” rating.

b. Verify your results using PHStat.

c. Interpret the p-value obtained from the software.

AppendixLO1