Sports and Leisure
The Der Dachstein mountain in Austria has several hiking trails, lots of options for skiers, and a spectacular sky walk that extends out from a ledge to offer a view of the Alps. A new cable car takes passengers to approximately 2700 meters above sea level in approximately 5.5 minutes.32 A random sample of cable car rides was selected and the time (in minutes) to reach the top was recorded for each. The data are given in the following table.
|
5.7
|
6.4
|
6.1
|
5.2
|
8.7
|
5.4
|
5.9
|
4.7
|
|
7.1
|
6.1
|
8.9
|
6.2
|
6.8
|
6.0
|
4.5
|
6.1
|
Assume the underlying population is normal and σ = 1.3. Is there any evidence to suggest that the mean cable car time is greater than 5.5 minutes? Use a = 0.05 and compute the p value to draw a conclusion.