A loan officer compares the interest rates for 48-month fixed-rate auto loans and 48-month variable-rate auto loans. Two independent, random samples of auto loan rates are selected. A sample of five 48-month variable-rate auto loans had the following loan rates:

2.6% 3.07% 2.872% 3.24% 3.15%

while a sample of five 48-month fixed-rate auto loans had loan rates as follows:

4.032% 3.85% 4.385% 3.75% 4.16%

(e)Use a hypothesis test to establish that the difference between the mean rates for fixed- and variable-rate 48-month auto loans exceeds .4 percent. Useequal to .05.(Round your tanswer to 4 decimal places and other answers to 1 decimal place.)

t = ?