Carrie and Zachary, loan officers at O’Well Fargo Bank, compare the interest rates for 48-month fixed-rate auto loans and 48-month variable-rate auto loans. They select two independent random samples of auto loans. A sample of eight 48-month fixed-rate auto loans had the following loan rates: 10.29, 9.75, 9.5, 9.99, 9.75, 9.99, 11.4, 10 while a sample of five 48-month variable rate auto loans had loan rates as follows: 9.59, 8.75, 8.99, 8.5, 9 Do the data indicate a difference in mean rates for 48-month fixed-rate and variable-rate auto loans? Use beta= 0.1. Also, state the assumptions that you need for the test to be valid.