Discuss the below:
Q: The manager of a big travel agency monitors agents who do booking for service by phone. The average time for a phone call, in seconds, is used as one summary of activity for the agency. Phone calls that are in excess of the 18.6 minutes are considered to be inefficient since they tend to tie up phone lines and in the long run may result in a significant reduction in revenue. The talk times (in minutes) of a random sample of booking agents are
13.0 14.0 20.0 15.8 18.0 23.0 18.3 17.5 15.1 19.9 18.6 14.0 11.7 13.8 12.6
16.3 29.6 13.0 20.1 14.8 12.0 19.0 19.0 18.3 15.6 12.6 14.8 20.0 18.4 17.0
18.6 13.0 16.3 18.6 13.0
a. Is there sufficient evidence to conclude that the average talk time for all booking taken by phone is more than a quarter of an hour? Find and interpret the p-value of the test.
b. Is there sufficient evidence to conclude that more than a quarter of the calls are inefficient? Find and interpret the p-value of the test.