A large college was considering switching brands of the laptop computers they lease for faculty. To test the quality of the support available, IT workers made a number of calls throughout one week to the support lines for each manufacturer. The workers recorded the number of minutes that they waited on the phone before a technician became available. The average wait time for the ITM brand was 8.5 minutes, with a standard deviation of 2.6 minutes, with a sample size of 34.
The average wait time for the Dull brand was 6.5 minutes, with a standard deviation of 1.9 minutes, for a sample size of 36.You may assume the wait times are normally distributed. Is there evidence of a difference in wait times between the two brands? Use α = 5%.