Jack Keef General Motors, an automobile dealer in Lincoln, Nebraska, advertised a $ XXXXXXXXXXpoint safety checkup for any car and claimed that the service department would finish the job in less than...

Jack Keef General Motors, an automobile dealer in Lincoln, Nebraska, advertised a $9.99 40-point safety checkup for any car and claimed that the service department would finish the job in less than 30 minutes. A local newspaper reporter selected a random sample of 58 customers who took advantage of the dealer’s offer and found the sample mean time to complete the safety

a. Is there any evidence to suggest that the true mean time to complete the safety checkup is greater than 30 minutes?

b. Find the p value for the hypothesis test in part (a).

 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.

Assume the underlying population is normal and
 Is there any evidence to suggest that the mean cable car time is greater than 5.5 minutes? Use
 and compute the p value to draw a conclusion.