answer all questions with explanation

A loan ofcer intends to compare the interest rate for 48-month xed-rate auto loans and 48-month variableurate auto loans. She selects two independent random samples of 48-month auto loans and observes the following loan rates: Fixed rate ('34) Variable rate (%) \" \" Using this data set perform the following tasks. Do all calculations 'manually', i.e., with a hand calculator without using R. Excel or any other software. showing the relevant formulas and the major steps. a) Carry out an appropriate hypothesis test at the 5% signicance level to see whether the population variance of the xed-rate 4B-months auto loans likely exceeds the population variance of the variable-rate dB-months auto loans. Brieyr discuss the steps of the test showing all relevant details