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 eight 48-month fixed-rate auto loans had the following loan rates: 4.29% 3.75% 3.5% 3.99% 3.75% 3.99% 5.4% 4% while a sample of five 48-month variable-rate auto loans had loan rates as follows: 3.59% 2.75% 2.99% 2.5% 3% a) Set up the null and alternative hypotheses needed to determine whether the mean rates for 48-month fixed-rate and variable-rate auto loans differ. b) Assuming that the normality and equal variances assumptions hold, use critical values to test these hypotheses by setting α equal to .10 Interpret the results c) Use the p-value to test these hypotheses by setting α equal to .10